What is the GCF of 60 and 75?
Greatest Common Factor of 60 and 75 is the greatest possible number which divides the numbers exactly without any remainder.
Answer: GCF of 60 and 75 is 15
We can find the GCF by the following two methods.
Methods to find GCF of 60 and 75
 GCF of 60 and 75 by Long Division
 GCF of 60 and 75 by Common Factor
Method 1: GCF(60, 75) by Long Division Method

Step 1: Divide 75 by 60 and check the remainder.

Step 2: 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.

Step 3: Continue till you get the remainder as 0
So, by long division method, GCF of 60 and 75 is 5
Method 2: GCF(60, 65) by Listing the Common Factors
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60
Factors of 75: 1, 3, 5, 15, 25, and 75
Common Factors of 60 and 75: 1, 3, 5, and 15
Greatest Common Factor from the list of 60 and 75 = 15
GCF of 60 and 75 is 15
You can find the GCF of 60 and 75 in any of the above methods but the solution will always remain the same, that is, of 60 and 75 is 15