What is the Greatest Common Factor of 78736 and 78756?

Greatest common factor (GCF) of 78736 and 78756 is 4.

GCF(78736,78756) = 4

We will now calculate the prime factors of 78736 and 78756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78736 and 78756.

How to find the GCF of 78736 and 78756?

We will first find the prime factorization of 78736 and 78756. After we will calculate the factors of 78736 and 78756 and find the biggest common factor number .

Step-1: Prime Factorization of 78736

Prime factors of 78736 are 2, 7, 19, 37. Prime factorization of 78736 in exponential form is:

78736 = 2⁴ × 7¹ × 19¹ × 37¹

Step-2: 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-3: Factors of 78736

List of positive integer factors of 78736 that divides 78736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 37, 38, 56, 74, 76, 112, 133, 148, 152, 259, 266, 296, 304, 518, 532, 592, 703, 1036, 1064, 1406, 2072, 2128, 2812, 4144, 4921, 5624, 9842, 11248, 19684, 39368

Step-4: Factors of 78756

List of positive integer factors of 78756 that divides 78736 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78736 and 78756. The biggest common factor number is the GCF number.
So the greatest common factor 78736 and 78756 is 4.

Also check out the Least Common Multiple of 78736 and 78756