What is the GCF of 36 and 64?
GCF (Greatest Common Factor) of two numbers, 36 and 64 is the largest possible number that divides the numbers 36 and 64 exactly without any remainder.
Answer: GCF of 36 and 64 is 4
Let us see how to find the GCF of 36 and 64
Explanation:
We can find the GCF by the following two methods:

Long division Method

Listing the Common Factors Method
GCF of 36 and 64 by Long Division

Step 1: Divide the largest number 64 by the smaller number 36 and check the remainder. Here, the remainder is 28.

Step 2: Make the remainder 28 as the divisor and the divisor 36 as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and GCF of 36 and 64 is the last divisor obtained.
Since 36 is the last divisor, the GCF of 36 and 64 is 4
GCF of 36 and 64 by Listing the Common Factors
The list of factors of 36 and 64 are:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Common factors of 36 and 64: 1, 2, 4
The greatest common factor in the list is 4
GCF of 36 and 64 is 4
You can find the GCF of 36 and 64 in any of the above methods but the solution will be the same.