What is the Greatest Common Factor of 76914 and 76926?

Greatest common factor (GCF) of 76914 and 76926 is 6.

GCF(76914,76926) = 6

We will now calculate the prime factors of 76914 and 76926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76914 and 76926.

How to find the GCF of 76914 and 76926?

We will first find the prime factorization of 76914 and 76926. After we will calculate the factors of 76914 and 76926 and find the biggest common factor number .

Step-1: Prime Factorization of 76914

Prime factors of 76914 are 2, 3, 4273. Prime factorization of 76914 in exponential form is:

76914 = 2¹ × 3² × 4273¹

Step-2: Prime Factorization of 76926

Prime factors of 76926 are 2, 3, 12821. Prime factorization of 76926 in exponential form is:

76926 = 2¹ × 3¹ × 12821¹

Step-3: Factors of 76914

List of positive integer factors of 76914 that divides 76914 without a remainder.

1, 2, 3, 6, 9, 18, 4273, 8546, 12819, 25638, 38457

Step-4: Factors of 76926

List of positive integer factors of 76926 that divides 76914 without a remainder.

1, 2, 3, 6, 12821, 25642, 38463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76914 and 76926. The biggest common factor number is the GCF number.
So the greatest common factor 76914 and 76926 is 6.

Also check out the Least Common Multiple of 76914 and 76926