HCF of 2 and 4
HCF of 2 and 4 is the largest possible number that divides 2 and 4 exactly without any remainder. The factors of 2 and 4 are 1, 2 and 1, 2, 4 respectively. There are 3 commonly used methods to find the HCF of 2 and 4  long division, prime factorization, and Euclidean algorithm.
1.  HCF of 2 and 4 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 2 and 4?
Answer: HCF of 2 and 4 is 2.
Explanation:
The HCF of two nonzero integers, x(2) and y(4), is the highest positive integer m(2) that divides both x(2) and y(4) without any remainder.
Methods to Find HCF of 2 and 4
Let's look at the different methods for finding the HCF of 2 and 4.
 Listing Common Factors
 Prime Factorization Method
 Long Division Method
HCF of 2 and 4 by Listing Common Factors
 Factors of 2: 1, 2
 Factors of 4: 1, 2, 4
There are 2 common factors of 2 and 4, that are 1 and 2. Therefore, the highest common factor of 2 and 4 is 2.
HCF of 2 and 4 by Prime Factorization
Prime factorization of 2 and 4 is (2) and (2 × 2) respectively. As visible, 2 and 4 have only one common prime factor i.e. 2. Hence, the HCF of 2 and 4 is 2.
HCF of 2 and 4 by Long Division
HCF of 2 and 4 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 4 (larger number) by 2 (smaller number).
 Step 2: Since the remainder = 0, the divisor (2) is the HCF of 2 and 4.
The corresponding divisor (2) is the HCF of 2 and 4.
☛ Also Check:
 HCF of 1 and 2 = 1
 HCF of 4 and 12 = 4
 HCF of 64 and 72 = 8
 HCF of 240 and 6552 = 24
 HCF of 504 and 980 = 28
 HCF of 28 and 56 = 28
 HCF of 4052 and 12576 = 4
HCF of 2 and 4 Examples

Example 1: Find the HCF of 2 and 4, if their LCM is 4.
Solution:
∵ LCM × HCF = 2 × 4
⇒ HCF(2, 4) = (2 × 4)/4 = 2
Therefore, the highest common factor of 2 and 4 is 2. 
Example 2: Find the highest number that divides 2 and 4 exactly.
Solution:
The highest number that divides 2 and 4 exactly is their highest common factor, i.e. HCF of 2 and 4.
⇒ Factors of 2 and 4: Factors of 2 = 1, 2
 Factors of 4 = 1, 2, 4
Therefore, the HCF of 2 and 4 is 2.

Example 3: The product of two numbers is 8. If their HCF is 2, what is their LCM?
Solution:
Given: HCF = 2 and product of numbers = 8
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 8/2
Therefore, the LCM is 4.
FAQs on HCF of 2 and 4
What is the HCF of 2 and 4?
The HCF of 2 and 4 is 2. To calculate the HCF (Highest Common Factor) of 2 and 4, we need to factor each number (factors of 2 = 1, 2; factors of 4 = 1, 2, 4) and choose the highest factor that exactly divides both 2 and 4, i.e., 2.
How to Find the HCF of 2 and 4 by Prime Factorization?
To find the HCF of 2 and 4, we will find the prime factorization of the given numbers, i.e. 2 = 2; 4 = 2 × 2.
⇒ Since 2 is the only common prime factor of 2 and 4. Hence, HCF (2, 4) = 2.
☛ What is a Prime Number?
What is the Relation Between LCM and HCF of 2, 4?
The following equation can be used to express the relation between LCM and HCF of 2 and 4, i.e. HCF × LCM = 2 × 4.
If the HCF of 4 and 2 is 2, Find its LCM.
HCF(4, 2) × LCM(4, 2) = 4 × 2
Since the HCF of 4 and 2 = 2
⇒ 2 × LCM(4, 2) = 8
Therefore, LCM = 4
☛ Highest Common Factor Calculator
What are the Methods to Find HCF of 2 and 4?
There are three commonly used methods to find the HCF of 2 and 4.
 By Prime Factorization
 By Listing Common Factors
 By Long Division
How to Find the HCF of 2 and 4 by Long Division Method?
To find the HCF of 2, 4 using long division method, 4 is divided by 2. The corresponding divisor (2) when remainder equals 0 is taken as HCF.
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