What is the Greatest Common Factor of 60756 and 60767?

Greatest common factor (GCF) of 60756 and 60767 is 1.

GCF(60756,60767) = 1

We will now calculate the prime factors of 60756 and 60767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60756 and 60767.

How to find the GCF of 60756 and 60767?

We will first find the prime factorization of 60756 and 60767. After we will calculate the factors of 60756 and 60767 and find the biggest common factor number .

Step-1: Prime Factorization of 60756

Prime factors of 60756 are 2, 3, 61, 83. Prime factorization of 60756 in exponential form is:

60756 = 2² × 3¹ × 61¹ × 83¹

Step-2: Prime Factorization of 60767

Prime factors of 60767 are 7, 8681. Prime factorization of 60767 in exponential form is:

60767 = 7¹ × 8681¹

Step-3: Factors of 60756

List of positive integer factors of 60756 that divides 60756 without a remainder.

1, 2, 3, 4, 6, 12, 61, 83, 122, 166, 183, 244, 249, 332, 366, 498, 732, 996, 5063, 10126, 15189, 20252, 30378

Step-4: Factors of 60767

List of positive integer factors of 60767 that divides 60756 without a remainder.

1, 7, 8681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60756 and 60767. The biggest common factor number is the GCF number.
So the greatest common factor 60756 and 60767 is 1.

Also check out the Least Common Multiple of 60756 and 60767