What is the Greatest Common Factor of 60675 and 60681?

Greatest common factor (GCF) of 60675 and 60681 is 3.

GCF(60675,60681) = 3

We will now calculate the prime factors of 60675 and 60681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60675 and 60681.

How to find the GCF of 60675 and 60681?

We will first find the prime factorization of 60675 and 60681. After we will calculate the factors of 60675 and 60681 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60681

Prime factors of 60681 are 3, 113, 179. Prime factorization of 60681 in exponential form is:

60681 = 3¹ × 113¹ × 179¹

Step-3: Factors of 60675

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

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

Step-4: Factors of 60681

List of positive integer factors of 60681 that divides 60675 without a remainder.

1, 3, 113, 179, 339, 537, 20227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60675 and 60681. The biggest common factor number is the GCF number.
So the greatest common factor 60675 and 60681 is 3.

Also check out the Least Common Multiple of 60675 and 60681