What is the GCF of 45 and 60?
Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: GCF of 45 and 60 is 15
We can find the GCF by the following methods
Methods to find GCF of 45 and 60

Prime factorization Method

Listing the common factors method

Long division Method
Method 1: GCF of 45 and 60 by Prime Factorization
Let us represent 45 and 60 as a product of its prime numbers
Prime factorization of 45 is 3 × 3 × 5
Prime factorization of 60 is 2 × 2 × 3 × 5
Common factors = 3, 5
GCF is the product of the factors that are common to each of the given numbers.
GCF = 3 × 5 = 15
Method 2: GCF of 45 and 60 by Listing the Common Factors
Common Factors of 45 and 60: 1, 3, 5, 15
Greatest common factor = 15
GCF of 45 and 60 is 15
Method 3: GCF of 45 and 60 by Long Division

Step 1: Divide 60 by 45 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 remainder as 0
You can find the GCF in any of the above methods but the solution will be the same.