What is the Greatest Common Factor of 27938 and 27956?

Greatest common factor (GCF) of 27938 and 27956 is 2.

GCF(27938,27956) = 2

We will now calculate the prime factors of 27938 and 27956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27938 and 27956.

How to find the GCF of 27938 and 27956?

We will first find the prime factorization of 27938 and 27956. After we will calculate the factors of 27938 and 27956 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 27956

Prime factors of 27956 are 2, 29, 241. Prime factorization of 27956 in exponential form is:

27956 = 2² × 29¹ × 241¹

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 27956

List of positive integer factors of 27956 that divides 27938 without a remainder.

1, 2, 4, 29, 58, 116, 241, 482, 964, 6989, 13978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27938 and 27956. The biggest common factor number is the GCF number.
So the greatest common factor 27938 and 27956 is 2.

Also check out the Least Common Multiple of 27938 and 27956