What is the Greatest Common Factor of 77976 and 77994?

Greatest common factor (GCF) of 77976 and 77994 is 18.

GCF(77976,77994) = 18

We will now calculate the prime factors of 77976 and 77994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77976 and 77994.

How to find the GCF of 77976 and 77994?

We will first find the prime factorization of 77976 and 77994. After we will calculate the factors of 77976 and 77994 and find the biggest common factor number .

Step-1: Prime Factorization of 77976

Prime factors of 77976 are 2, 3, 19. Prime factorization of 77976 in exponential form is:

77976 = 2³ × 3³ × 19²

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 77976

List of positive integer factors of 77976 that divides 77976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 361, 456, 513, 684, 722, 1026, 1083, 1368, 1444, 2052, 2166, 2888, 3249, 4104, 4332, 6498, 8664, 9747, 12996, 19494, 25992, 38988

Step-4: Factors of 77994

List of positive integer factors of 77994 that divides 77976 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 77976 and 77994. The biggest common factor number is the GCF number.
So the greatest common factor 77976 and 77994 is 18.

Also check out the Least Common Multiple of 77976 and 77994