What is the Greatest Common Factor of 11944 and 11951?

Greatest common factor (GCF) of 11944 and 11951 is 1.

GCF(11944,11951) = 1

We will now calculate the prime factors of 11944 and 11951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11944 and 11951.

How to find the GCF of 11944 and 11951?

We will first find the prime factorization of 11944 and 11951. After we will calculate the factors of 11944 and 11951 and find the biggest common factor number .

Step-1: Prime Factorization of 11944

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

11944 = 2³ × 1493¹

Step-2: Prime Factorization of 11951

Prime factors of 11951 are 17, 19, 37. Prime factorization of 11951 in exponential form is:

11951 = 17¹ × 19¹ × 37¹

Step-3: Factors of 11944

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

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

Step-4: Factors of 11951

List of positive integer factors of 11951 that divides 11944 without a remainder.

1, 17, 19, 37, 323, 629, 703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11944 and 11951. The biggest common factor number is the GCF number.
So the greatest common factor 11944 and 11951 is 1.

Also check out the Least Common Multiple of 11944 and 11951