What is the Greatest Common Factor of 78928 and 78936?

Greatest common factor (GCF) of 78928 and 78936 is 8.

GCF(78928,78936) = 8

We will now calculate the prime factors of 78928 and 78936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78928 and 78936.

How to find the GCF of 78928 and 78936?

We will first find the prime factorization of 78928 and 78936. After we will calculate the factors of 78928 and 78936 and find the biggest common factor number .

Step-1: Prime Factorization of 78928

Prime factors of 78928 are 2, 4933. Prime factorization of 78928 in exponential form is:

78928 = 2⁴ × 4933¹

Step-2: 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-3: Factors of 78928

List of positive integer factors of 78928 that divides 78928 without a remainder.

1, 2, 4, 8, 16, 4933, 9866, 19732, 39464

Step-4: Factors of 78936

List of positive integer factors of 78936 that divides 78928 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78928 and 78936. The biggest common factor number is the GCF number.
So the greatest common factor 78928 and 78936 is 8.

Also check out the Least Common Multiple of 78928 and 78936