What is the Greatest Common Factor of 79936 and 79948?

Greatest common factor (GCF) of 79936 and 79948 is 4.

GCF(79936,79948) = 4

We will now calculate the prime factors of 79936 and 79948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79936 and 79948.

How to find the GCF of 79936 and 79948?

We will first find the prime factorization of 79936 and 79948. After we will calculate the factors of 79936 and 79948 and find the biggest common factor number .

Step-1: Prime Factorization of 79936

Prime factors of 79936 are 2, 1249. Prime factorization of 79936 in exponential form is:

79936 = 2⁶ × 1249¹

Step-2: Prime Factorization of 79948

Prime factors of 79948 are 2, 11, 23, 79. Prime factorization of 79948 in exponential form is:

79948 = 2² × 11¹ × 23¹ × 79¹

Step-3: Factors of 79936

List of positive integer factors of 79936 that divides 79936 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1249, 2498, 4996, 9992, 19984, 39968

Step-4: Factors of 79948

List of positive integer factors of 79948 that divides 79936 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 79, 92, 158, 253, 316, 506, 869, 1012, 1738, 1817, 3476, 3634, 7268, 19987, 39974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79936 and 79948. The biggest common factor number is the GCF number.
So the greatest common factor 79936 and 79948 is 4.

Also check out the Least Common Multiple of 79936 and 79948