What is the Greatest Common Factor of 76988 and 76992?

Greatest common factor (GCF) of 76988 and 76992 is 4.

GCF(76988,76992) = 4

We will now calculate the prime factors of 76988 and 76992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76988 and 76992.

How to find the GCF of 76988 and 76992?

We will first find the prime factorization of 76988 and 76992. After we will calculate the factors of 76988 and 76992 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 76992

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

76992 = 2⁶ × 3¹ × 401¹

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 76992

List of positive integer factors of 76992 that divides 76988 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76988 and 76992. The biggest common factor number is the GCF number.
So the greatest common factor 76988 and 76992 is 4.

Also check out the Least Common Multiple of 76988 and 76992