What is the GCF of 30 and 100?
GCF (Greatest Common Factor) of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: GCF of 30 and 100 is 10
Lets see how to find the GCF of 30 and 100
Explanation:
We can find the GCF of 30 and 100 by the following methods

Prime factorization Method

Long division Method
Methods to Find GCF of 30 and 100
Greatest Common Factor of 30 and 100 by Prime Factorization
Let's write the prime factorization of 30 and 100
Prime factorization of 30 is 2 × 3 × 5
Prime factorization of 100 is 2 × 2 × 5 × 5
The common prime factors in the above prime factorization are 2 and 5
The greatest common factor is the product of the prime factors that are common to each of the given numbers.
So, GCF of 30 and 100 is 2 × 5 = 10
Greatest Common Factor of 30 and 100 by Long Division

Step 1: Divide 100 by 30 and check the remainder. Here, the remainder is 10

Step 2: Make the remainder 10 as the divisor and the divisor 30 as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor of the division process will be the GCF(30, 100)
The solution to our question GCF of 30 and 100 is the same by both the methods.