What is GCF of 30 and 35?
GCF of two numbers 30 and 35 is the largest possible number which divides both the numbers exactly.
Answer: GCF of 30 and 35 is 5
We will see how to find the GCF of 30 and 35.
The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.
We can find the GCF of the numbers in many ways the commonly used methods are listed below.
Methods to Find GCF of 30 and 35
- Long division Method
- Listing the common factors method
Method 1: GCF of 30 and 35 by Long Division
- Step 1: Divide 35 by 30 and check the remainder.
- Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Continue till you get the remainder as 0
Method 2: GCF of 30 and 35 by Listing the Common Factors
In this method, we list all the factors of 30 and 35, then identify the common factors.
The highest among the common factors is the GCF of 30 and 35.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 35 are 1, 5, 7, 35
Common Factors of 30 and 35: 1, 5.
Greatest common factor= 5
GCF of 30 and 35 is 5
Irrespective of the method, the GCF of 30 and 35 remains the same.