What is the Greatest Common Factor of 79934 and 79948?

Greatest common factor (GCF) of 79934 and 79948 is 2.

GCF(79934,79948) = 2

We will now calculate the prime factors of 79934 and 79948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79934 and 79948.

How to find the GCF of 79934 and 79948?

We will first find the prime factorization of 79934 and 79948. After we will calculate the factors of 79934 and 79948 and find the biggest common factor number .

Step-1: Prime Factorization of 79934

Prime factors of 79934 are 2, 17, 2351. Prime factorization of 79934 in exponential form is:

79934 = 2¹ × 17¹ × 2351¹

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 79934

List of positive integer factors of 79934 that divides 79934 without a remainder.

1, 2, 17, 34, 2351, 4702, 39967

Step-4: Factors of 79948

List of positive integer factors of 79948 that divides 79934 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 79934 and 79948. The biggest common factor number is the GCF number.
So the greatest common factor 79934 and 79948 is 2.

Also check out the Least Common Multiple of 79934 and 79948