What is the Greatest Common Factor of 76992 and 77008?

Greatest common factor (GCF) of 76992 and 77008 is 16.

GCF(76992,77008) = 16

We will now calculate the prime factors of 76992 and 77008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76992 and 77008.

How to find the GCF of 76992 and 77008?

We will first find the prime factorization of 76992 and 77008. After we will calculate the factors of 76992 and 77008 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 77008

Prime factors of 77008 are 2, 4813. Prime factorization of 77008 in exponential form is:

77008 = 2⁴ × 4813¹

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 77008

List of positive integer factors of 77008 that divides 76992 without a remainder.

1, 2, 4, 8, 16, 4813, 9626, 19252, 38504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76992 and 77008. The biggest common factor number is the GCF number.
So the greatest common factor 76992 and 77008 is 16.

Also check out the Least Common Multiple of 76992 and 77008