What is the Greatest Common Factor of 11938 and 11944?

Greatest common factor (GCF) of 11938 and 11944 is 2.

GCF(11938,11944) = 2

We will now calculate the prime factors of 11938 and 11944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11938 and 11944.

How to find the GCF of 11938 and 11944?

We will first find the prime factorization of 11938 and 11944. After we will calculate the factors of 11938 and 11944 and find the biggest common factor number .

Step-1: Prime Factorization of 11938

Prime factors of 11938 are 2, 47, 127. Prime factorization of 11938 in exponential form is:

11938 = 2¹ × 47¹ × 127¹

Step-2: Prime Factorization of 11944

Prime factors of 11944 are 2, 1493. Prime factorization of 11944 in exponential form is:

11944 = 2³ × 1493¹

Step-3: Factors of 11938

List of positive integer factors of 11938 that divides 11938 without a remainder.

1, 2, 47, 94, 127, 254, 5969

Step-4: Factors of 11944

List of positive integer factors of 11944 that divides 11938 without a remainder.

1, 2, 4, 8, 1493, 2986, 5972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11938 and 11944. The biggest common factor number is the GCF number.
So the greatest common factor 11938 and 11944 is 2.

Also check out the Least Common Multiple of 11938 and 11944