What is the Greatest Common Factor of 27937 and 27944?

Greatest common factor (GCF) of 27937 and 27944 is 7.

GCF(27937,27944) = 7

We will now calculate the prime factors of 27937 and 27944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27937 and 27944.

How to find the GCF of 27937 and 27944?

We will first find the prime factorization of 27937 and 27944. After we will calculate the factors of 27937 and 27944 and find the biggest common factor number .

Step-1: Prime Factorization of 27937

Prime factors of 27937 are 7, 13, 307. Prime factorization of 27937 in exponential form is:

27937 = 7¹ × 13¹ × 307¹

Step-2: Prime Factorization of 27944

Prime factors of 27944 are 2, 7, 499. Prime factorization of 27944 in exponential form is:

27944 = 2³ × 7¹ × 499¹

Step-3: Factors of 27937

List of positive integer factors of 27937 that divides 27937 without a remainder.

1, 7, 13, 91, 307, 2149, 3991

Step-4: Factors of 27944

List of positive integer factors of 27944 that divides 27937 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 499, 998, 1996, 3493, 3992, 6986, 13972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27937 and 27944. The biggest common factor number is the GCF number.
So the greatest common factor 27937 and 27944 is 7.

Also check out the Least Common Multiple of 27937 and 27944