What is the Greatest Common Factor of 76788 and 76792?

Greatest common factor (GCF) of 76788 and 76792 is 4.

GCF(76788,76792) = 4

We will now calculate the prime factors of 76788 and 76792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76788 and 76792.

How to find the GCF of 76788 and 76792?

We will first find the prime factorization of 76788 and 76792. After we will calculate the factors of 76788 and 76792 and find the biggest common factor number .

Step-1: Prime Factorization of 76788

Prime factors of 76788 are 2, 3, 79. Prime factorization of 76788 in exponential form is:

76788 = 2² × 3⁵ × 79¹

Step-2: Prime Factorization of 76792

Prime factors of 76792 are 2, 29, 331. Prime factorization of 76792 in exponential form is:

76792 = 2³ × 29¹ × 331¹

Step-3: Factors of 76788

List of positive integer factors of 76788 that divides 76788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 243, 316, 324, 474, 486, 711, 948, 972, 1422, 2133, 2844, 4266, 6399, 8532, 12798, 19197, 25596, 38394

Step-4: Factors of 76792

List of positive integer factors of 76792 that divides 76788 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 331, 662, 1324, 2648, 9599, 19198, 38396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76788 and 76792. The biggest common factor number is the GCF number.
So the greatest common factor 76788 and 76792 is 4.

Also check out the Least Common Multiple of 76788 and 76792