What is the Greatest Common Factor of 77975 and 77980?

Greatest common factor (GCF) of 77975 and 77980 is 5.

GCF(77975,77980) = 5

We will now calculate the prime factors of 77975 and 77980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77975 and 77980.

How to find the GCF of 77975 and 77980?

We will first find the prime factorization of 77975 and 77980. After we will calculate the factors of 77975 and 77980 and find the biggest common factor number .

Step-1: Prime Factorization of 77975

Prime factors of 77975 are 5, 3119. Prime factorization of 77975 in exponential form is:

77975 = 5² × 3119¹

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 77975

List of positive integer factors of 77975 that divides 77975 without a remainder.

1, 5, 25, 3119, 15595

Step-4: Factors of 77980

List of positive integer factors of 77980 that divides 77975 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 77975 and 77980. The biggest common factor number is the GCF number.
So the greatest common factor 77975 and 77980 is 5.

Also check out the Least Common Multiple of 77975 and 77980