What is the Greatest Common Factor of 78928 and 78948?

Greatest common factor (GCF) of 78928 and 78948 is 4.

GCF(78928,78948) = 4

We will now calculate the prime factors of 78928 and 78948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78928 and 78948.

How to find the GCF of 78928 and 78948?

We will first find the prime factorization of 78928 and 78948. After we will calculate the factors of 78928 and 78948 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 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 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 78948

List of positive integer factors of 78948 that divides 78928 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 78928 and 78948. The biggest common factor number is the GCF number.
So the greatest common factor 78928 and 78948 is 4.

Also check out the Least Common Multiple of 78928 and 78948