What is the Greatest Common Factor of 78756 and 78774?

Greatest common factor (GCF) of 78756 and 78774 is 6.

GCF(78756,78774) = 6

We will now calculate the prime factors of 78756 and 78774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78756 and 78774.

How to find the GCF of 78756 and 78774?

We will first find the prime factorization of 78756 and 78774. After we will calculate the factors of 78756 and 78774 and find the biggest common factor number .

Step-1: Prime Factorization of 78756

Prime factors of 78756 are 2, 3, 6563. Prime factorization of 78756 in exponential form is:

78756 = 2² × 3¹ × 6563¹

Step-2: Prime Factorization of 78774

Prime factors of 78774 are 2, 3, 19, 691. Prime factorization of 78774 in exponential form is:

78774 = 2¹ × 3¹ × 19¹ × 691¹

Step-3: Factors of 78756

List of positive integer factors of 78756 that divides 78756 without a remainder.

1, 2, 3, 4, 6, 12, 6563, 13126, 19689, 26252, 39378

Step-4: Factors of 78774

List of positive integer factors of 78774 that divides 78756 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 691, 1382, 2073, 4146, 13129, 26258, 39387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78756 and 78774. The biggest common factor number is the GCF number.
So the greatest common factor 78756 and 78774 is 6.

Also check out the Least Common Multiple of 78756 and 78774