What is the Greatest Common Factor of 78936 and 78949?

Greatest common factor (GCF) of 78936 and 78949 is 13.

GCF(78936,78949) = 13

We will now calculate the prime factors of 78936 and 78949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78936 and 78949.

How to find the GCF of 78936 and 78949?

We will first find the prime factorization of 78936 and 78949. After we will calculate the factors of 78936 and 78949 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 78949

Prime factors of 78949 are 13, 6073. Prime factorization of 78949 in exponential form is:

78949 = 13¹ × 6073¹

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 78949

List of positive integer factors of 78949 that divides 78936 without a remainder.

1, 13, 6073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78936 and 78949. The biggest common factor number is the GCF number.
So the greatest common factor 78936 and 78949 is 13.

Also check out the Least Common Multiple of 78936 and 78949