What is the Greatest Common Factor of 76988 and 77004?

Greatest common factor (GCF) of 76988 and 77004 is 4.

GCF(76988,77004) = 4

We will now calculate the prime factors of 76988 and 77004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76988 and 77004.

How to find the GCF of 76988 and 77004?

We will first find the prime factorization of 76988 and 77004. After we will calculate the factors of 76988 and 77004 and find the biggest common factor number .

Step-1: Prime Factorization of 76988

Prime factors of 76988 are 2, 19, 1013. Prime factorization of 76988 in exponential form is:

76988 = 2² × 19¹ × 1013¹

Step-2: Prime Factorization of 77004

Prime factors of 77004 are 2, 3, 23, 31. Prime factorization of 77004 in exponential form is:

77004 = 2² × 3³ × 23¹ × 31¹

Step-3: Factors of 76988

List of positive integer factors of 76988 that divides 76988 without a remainder.

1, 2, 4, 19, 38, 76, 1013, 2026, 4052, 19247, 38494

Step-4: Factors of 77004

List of positive integer factors of 77004 that divides 76988 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 31, 36, 46, 54, 62, 69, 92, 93, 108, 124, 138, 186, 207, 276, 279, 372, 414, 558, 621, 713, 828, 837, 1116, 1242, 1426, 1674, 2139, 2484, 2852, 3348, 4278, 6417, 8556, 12834, 19251, 25668, 38502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76988 and 77004. The biggest common factor number is the GCF number.
So the greatest common factor 76988 and 77004 is 4.

Also check out the Least Common Multiple of 76988 and 77004