What is the Greatest Common Factor of 776 and 792?

Greatest common factor (GCF) of 776 and 792 is 8.

GCF(776,792) = 8

We will now calculate the prime factors of 776 and 792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 776 and 792.

How to find the GCF of 776 and 792?

We will first find the prime factorization of 776 and 792. After we will calculate the factors of 776 and 792 and find the biggest common factor number .

Step-1: Prime Factorization of 776

Prime factors of 776 are 2, 97. Prime factorization of 776 in exponential form is:

776 = 2³ × 97¹

Step-2: Prime Factorization of 792

Prime factors of 792 are 2, 3, 11. Prime factorization of 792 in exponential form is:

792 = 2³ × 3² × 11¹

Step-3: Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388

Step-4: Factors of 792

List of positive integer factors of 792 that divides 776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 776 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 776 and 792 is 8.

Also check out the Least Common Multiple of 776 and 792