What is the Greatest Common Factor of 77971 and 77980?

Greatest common factor (GCF) of 77971 and 77980 is 1.

GCF(77971,77980) = 1

We will now calculate the prime factors of 77971 and 77980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77971 and 77980.

How to find the GCF of 77971 and 77980?

We will first find the prime factorization of 77971 and 77980. After we will calculate the factors of 77971 and 77980 and find the biggest common factor number .

Step-1: Prime Factorization of 77971

Prime factors of 77971 are 103, 757. Prime factorization of 77971 in exponential form is:

77971 = 103¹ × 757¹

Step-2: Prime Factorization of 77980

Prime factors of 77980 are 2, 5, 7, 557. Prime factorization of 77980 in exponential form is:

77980 = 2² × 5¹ × 7¹ × 557¹

Step-3: Factors of 77971

List of positive integer factors of 77971 that divides 77971 without a remainder.

1, 103, 757

Step-4: Factors of 77980

List of positive integer factors of 77980 that divides 77971 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 557, 1114, 2228, 2785, 3899, 5570, 7798, 11140, 15596, 19495, 38990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77971 and 77980. The biggest common factor number is the GCF number.
So the greatest common factor 77971 and 77980 is 1.

Also check out the Least Common Multiple of 77971 and 77980