What is the Greatest Common Factor of 76686 and 76698?

Greatest common factor (GCF) of 76686 and 76698 is 6.

GCF(76686,76698) = 6

We will now calculate the prime factors of 76686 and 76698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76686 and 76698.

How to find the GCF of 76686 and 76698?

We will first find the prime factorization of 76686 and 76698. After we will calculate the factors of 76686 and 76698 and find the biggest common factor number .

Step-1: Prime Factorization of 76686

Prime factors of 76686 are 2, 3, 12781. Prime factorization of 76686 in exponential form is:

76686 = 2¹ × 3¹ × 12781¹

Step-2: Prime Factorization of 76698

Prime factors of 76698 are 2, 3, 4261. Prime factorization of 76698 in exponential form is:

76698 = 2¹ × 3² × 4261¹

Step-3: Factors of 76686

List of positive integer factors of 76686 that divides 76686 without a remainder.

1, 2, 3, 6, 12781, 25562, 38343

Step-4: Factors of 76698

List of positive integer factors of 76698 that divides 76686 without a remainder.

1, 2, 3, 6, 9, 18, 4261, 8522, 12783, 25566, 38349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76686 and 76698. The biggest common factor number is the GCF number.
So the greatest common factor 76686 and 76698 is 6.

Also check out the Least Common Multiple of 76686 and 76698