What is the Greatest Common Factor of 78936 and 78951?

Greatest common factor (GCF) of 78936 and 78951 is 3.

GCF(78936,78951) = 3

We will now calculate the prime factors of 78936 and 78951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78936 and 78951.

How to find the GCF of 78936 and 78951?

We will first find the prime factorization of 78936 and 78951. After we will calculate the factors of 78936 and 78951 and find the biggest common factor number .

Step-1: Prime Factorization of 78936

Prime factors of 78936 are 2, 3, 11, 13, 23. Prime factorization of 78936 in exponential form is:

78936 = 2³ × 3¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 78951

Prime factors of 78951 are 3, 26317. Prime factorization of 78951 in exponential form is:

78951 = 3¹ × 26317¹

Step-3: Factors of 78936

List of positive integer factors of 78936 that divides 78936 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 23, 24, 26, 33, 39, 44, 46, 52, 66, 69, 78, 88, 92, 104, 132, 138, 143, 156, 184, 253, 264, 276, 286, 299, 312, 429, 506, 552, 572, 598, 759, 858, 897, 1012, 1144, 1196, 1518, 1716, 1794, 2024, 2392, 3036, 3289, 3432, 3588, 6072, 6578, 7176, 9867, 13156, 19734, 26312, 39468

Step-4: Factors of 78951

List of positive integer factors of 78951 that divides 78936 without a remainder.

1, 3, 26317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78936 and 78951. The biggest common factor number is the GCF number.
So the greatest common factor 78936 and 78951 is 3.

Also check out the Least Common Multiple of 78936 and 78951