What is the Greatest Common Factor of 76992 and 77004?

Greatest common factor (GCF) of 76992 and 77004 is 12.

GCF(76992,77004) = 12

We will now calculate the prime factors of 76992 and 77004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76992 and 77004.

How to find the GCF of 76992 and 77004?

We will first find the prime factorization of 76992 and 77004. After we will calculate the factors of 76992 and 77004 and find the biggest common factor number .

Step-1: Prime Factorization of 76992

Prime factors of 76992 are 2, 3, 401. Prime factorization of 76992 in exponential form is:

76992 = 2⁶ × 3¹ × 401¹

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 76992

List of positive integer factors of 76992 that divides 76992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248, 25664, 38496

Step-4: Factors of 77004

List of positive integer factors of 77004 that divides 76992 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 76992 and 77004. The biggest common factor number is the GCF number.
So the greatest common factor 76992 and 77004 is 12.

Also check out the Least Common Multiple of 76992 and 77004