What is the Greatest Common Factor of 78936 and 78948?

Greatest common factor (GCF) of 78936 and 78948 is 12.

GCF(78936,78948) = 12

We will now calculate the prime factors of 78936 and 78948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78936 and 78948.

How to find the GCF of 78936 and 78948?

We will first find the prime factorization of 78936 and 78948. After we will calculate the factors of 78936 and 78948 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 78948

Prime factors of 78948 are 2, 3, 17, 43. Prime factorization of 78948 in exponential form is:

78948 = 2² × 3³ × 17¹ × 43¹

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 78948

List of positive integer factors of 78948 that divides 78936 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 43, 51, 54, 68, 86, 102, 108, 129, 153, 172, 204, 258, 306, 387, 459, 516, 612, 731, 774, 918, 1161, 1462, 1548, 1836, 2193, 2322, 2924, 4386, 4644, 6579, 8772, 13158, 19737, 26316, 39474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78936 and 78948. The biggest common factor number is the GCF number.
So the greatest common factor 78936 and 78948 is 12.

Also check out the Least Common Multiple of 78936 and 78948