What is the Greatest Common Factor of 60675 and 60691?

Greatest common factor (GCF) of 60675 and 60691 is 1.

GCF(60675,60691) = 1

We will now calculate the prime factors of 60675 and 60691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60675 and 60691.

How to find the GCF of 60675 and 60691?

We will first find the prime factorization of 60675 and 60691. After we will calculate the factors of 60675 and 60691 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 60691

Prime factors of 60691 are 137, 443. Prime factorization of 60691 in exponential form is:

60691 = 137¹ × 443¹

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 60691

List of positive integer factors of 60691 that divides 60675 without a remainder.

1, 137, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60675 and 60691. The biggest common factor number is the GCF number.
So the greatest common factor 60675 and 60691 is 1.

Also check out the Least Common Multiple of 60675 and 60691