What is the Greatest Common Factor of 78708 and 78726?

Greatest common factor (GCF) of 78708 and 78726 is 6.

GCF(78708,78726) = 6

We will now calculate the prime factors of 78708 and 78726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78708 and 78726.

How to find the GCF of 78708 and 78726?

We will first find the prime factorization of 78708 and 78726. After we will calculate the factors of 78708 and 78726 and find the biggest common factor number .

Step-1: Prime Factorization of 78708

Prime factors of 78708 are 2, 3, 7, 937. Prime factorization of 78708 in exponential form is:

78708 = 2² × 3¹ × 7¹ × 937¹

Step-2: Prime Factorization of 78726

Prime factors of 78726 are 2, 3, 13121. Prime factorization of 78726 in exponential form is:

78726 = 2¹ × 3¹ × 13121¹

Step-3: Factors of 78708

List of positive integer factors of 78708 that divides 78708 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 937, 1874, 2811, 3748, 5622, 6559, 11244, 13118, 19677, 26236, 39354

Step-4: Factors of 78726

List of positive integer factors of 78726 that divides 78708 without a remainder.

1, 2, 3, 6, 13121, 26242, 39363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78708 and 78726. The biggest common factor number is the GCF number.
So the greatest common factor 78708 and 78726 is 6.

Also check out the Least Common Multiple of 78708 and 78726