What is the Greatest Common Factor of 27924 and 27938?

Greatest common factor (GCF) of 27924 and 27938 is 2.

GCF(27924,27938) = 2

We will now calculate the prime factors of 27924 and 27938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27924 and 27938.

How to find the GCF of 27924 and 27938?

We will first find the prime factorization of 27924 and 27938. After we will calculate the factors of 27924 and 27938 and find the biggest common factor number .

Step-1: Prime Factorization of 27924

Prime factors of 27924 are 2, 3, 13, 179. Prime factorization of 27924 in exponential form is:

27924 = 2² × 3¹ × 13¹ × 179¹

Step-2: 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-3: Factors of 27924

List of positive integer factors of 27924 that divides 27924 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 179, 358, 537, 716, 1074, 2148, 2327, 4654, 6981, 9308, 13962

Step-4: Factors of 27938

List of positive integer factors of 27938 that divides 27924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27924 and 27938. The biggest common factor number is the GCF number.
So the greatest common factor 27924 and 27938 is 2.

Also check out the Least Common Multiple of 27924 and 27938