What is the Greatest Common Factor of 77980 and 77994?

Greatest common factor (GCF) of 77980 and 77994 is 14.

GCF(77980,77994) = 14

We will now calculate the prime factors of 77980 and 77994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77980 and 77994.

How to find the GCF of 77980 and 77994?

We will first find the prime factorization of 77980 and 77994. After we will calculate the factors of 77980 and 77994 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77994

Prime factors of 77994 are 2, 3, 7, 619. Prime factorization of 77994 in exponential form is:

77994 = 2¹ × 3² × 7¹ × 619¹

Step-3: Factors of 77980

List of positive integer factors of 77980 that divides 77980 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

Step-4: Factors of 77994

List of positive integer factors of 77994 that divides 77980 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 619, 1238, 1857, 3714, 4333, 5571, 8666, 11142, 12999, 25998, 38997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77980 and 77994. The biggest common factor number is the GCF number.
So the greatest common factor 77980 and 77994 is 14.

Also check out the Least Common Multiple of 77980 and 77994