What is the Greatest Common Factor of 60670 and 60675?

Greatest common factor (GCF) of 60670 and 60675 is 5.

GCF(60670,60675) = 5

We will now calculate the prime factors of 60670 and 60675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60670 and 60675.

How to find the GCF of 60670 and 60675?

We will first find the prime factorization of 60670 and 60675. After we will calculate the factors of 60670 and 60675 and find the biggest common factor number .

Step-1: Prime Factorization of 60670

Prime factors of 60670 are 2, 5, 6067. Prime factorization of 60670 in exponential form is:

60670 = 2¹ × 5¹ × 6067¹

Step-2: Prime Factorization of 60675

Prime factors of 60675 are 3, 5, 809. Prime factorization of 60675 in exponential form is:

60675 = 3¹ × 5² × 809¹

Step-3: Factors of 60670

List of positive integer factors of 60670 that divides 60670 without a remainder.

1, 2, 5, 10, 6067, 12134, 30335

Step-4: Factors of 60675

List of positive integer factors of 60675 that divides 60670 without a remainder.

1, 3, 5, 15, 25, 75, 809, 2427, 4045, 12135, 20225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60670 and 60675. The biggest common factor number is the GCF number.
So the greatest common factor 60670 and 60675 is 5.

Also check out the Least Common Multiple of 60670 and 60675