What is the Greatest Common Factor of 77966 and 77980?

Greatest common factor (GCF) of 77966 and 77980 is 14.

GCF(77966,77980) = 14

We will now calculate the prime factors of 77966 and 77980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77966 and 77980.

How to find the GCF of 77966 and 77980?

We will first find the prime factorization of 77966 and 77980. After we will calculate the factors of 77966 and 77980 and find the biggest common factor number .

Step-1: Prime Factorization of 77966

Prime factors of 77966 are 2, 7, 5569. Prime factorization of 77966 in exponential form is:

77966 = 2¹ × 7¹ × 5569¹

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 77966

List of positive integer factors of 77966 that divides 77966 without a remainder.

1, 2, 7, 14, 5569, 11138, 38983

Step-4: Factors of 77980

List of positive integer factors of 77980 that divides 77966 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 77966 and 77980. The biggest common factor number is the GCF number.
So the greatest common factor 77966 and 77980 is 14.

Also check out the Least Common Multiple of 77966 and 77980