What is the Greatest Common Factor of 27938 and 27948?

Greatest common factor (GCF) of 27938 and 27948 is 2.

GCF(27938,27948) = 2

We will now calculate the prime factors of 27938 and 27948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27938 and 27948.

How to find the GCF of 27938 and 27948?

We will first find the prime factorization of 27938 and 27948. After we will calculate the factors of 27938 and 27948 and find the biggest common factor number .

Step-1: Prime Factorization of 27938

Prime factors of 27938 are 2, 61, 229. Prime factorization of 27938 in exponential form is:

27938 = 2¹ × 61¹ × 229¹

Step-2: Prime Factorization of 27948

Prime factors of 27948 are 2, 3, 17, 137. Prime factorization of 27948 in exponential form is:

27948 = 2² × 3¹ × 17¹ × 137¹

Step-3: Factors of 27938

List of positive integer factors of 27938 that divides 27938 without a remainder.

1, 2, 61, 122, 229, 458, 13969

Step-4: Factors of 27948

List of positive integer factors of 27948 that divides 27938 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 137, 204, 274, 411, 548, 822, 1644, 2329, 4658, 6987, 9316, 13974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27938 and 27948. The biggest common factor number is the GCF number.
So the greatest common factor 27938 and 27948 is 2.

Also check out the Least Common Multiple of 27938 and 27948