What is the Greatest Common Factor of 27938 and 27958?

Greatest common factor (GCF) of 27938 and 27958 is 2.

GCF(27938,27958) = 2

We will now calculate the prime factors of 27938 and 27958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27938 and 27958.

How to find the GCF of 27938 and 27958?

We will first find the prime factorization of 27938 and 27958. After we will calculate the factors of 27938 and 27958 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 27958

Prime factors of 27958 are 2, 7, 1997. Prime factorization of 27958 in exponential form is:

27958 = 2¹ × 7¹ × 1997¹

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 27958

List of positive integer factors of 27958 that divides 27938 without a remainder.

1, 2, 7, 14, 1997, 3994, 13979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27938 and 27958. The biggest common factor number is the GCF number.
So the greatest common factor 27938 and 27958 is 2.

Also check out the Least Common Multiple of 27938 and 27958