GCF of 60 and 75
The GCF of 60 and 75 is 15.
To find the greatest common factor (GCF) of two numbers, such as 60 and 75, we can start by finding the prime factorization of each number.
Prime factorization of 60:
60 = 2 × 2 × 3 × 5
Prime factorization of 75:
75 = 3 × 5 × 5
Next, we look for common prime factors of the two numbers. In this case, the common factors are 3 and 5.
Finally, we multiply these common factors together to find the GCF:
GCF of 60 and 75 = 3 × 5 = 15.
Therefore, the GCF of 60 and 75 is 15.
To find the greatest common factor (GCF) of 60 and 75, we can use the following steps:
Step 1: List all the factors of each number.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The factors of 75 are 1, 3, 5, 15, 25, and 75.
Step 2: Identify the common factors.
The common factors of 60 and 75 are 1, 3, 5, and 15.
Step 3: Determine the greatest common factor.
Out of the common factors, the greatest one is 15.
Therefore, the GCF of 60 and 75 is 15.