What is the Greatest Common Factor of 79948 and 79966?

Greatest common factor (GCF) of 79948 and 79966 is 2.

GCF(79948,79966) = 2

We will now calculate the prime factors of 79948 and 79966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79948 and 79966.

How to find the GCF of 79948 and 79966?

We will first find the prime factorization of 79948 and 79966. After we will calculate the factors of 79948 and 79966 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79966

Prime factors of 79966 are 2, 39983. Prime factorization of 79966 in exponential form is:

79966 = 2¹ × 39983¹

Step-3: Factors of 79948

List of positive integer factors of 79948 that divides 79948 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

Step-4: Factors of 79966

List of positive integer factors of 79966 that divides 79948 without a remainder.

1, 2, 39983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79948 and 79966. The biggest common factor number is the GCF number.
So the greatest common factor 79948 and 79966 is 2.

Also check out the Least Common Multiple of 79948 and 79966