What is the Greatest Common Factor of 14944 and 14956?

Greatest common factor (GCF) of 14944 and 14956 is 4.

GCF(14944,14956) = 4

We will now calculate the prime factors of 14944 and 14956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14944 and 14956.

How to find the GCF of 14944 and 14956?

We will first find the prime factorization of 14944 and 14956. After we will calculate the factors of 14944 and 14956 and find the biggest common factor number .

Step-1: Prime Factorization of 14944

Prime factors of 14944 are 2, 467. Prime factorization of 14944 in exponential form is:

14944 = 2⁵ × 467¹

Step-2: Prime Factorization of 14956

Prime factors of 14956 are 2, 3739. Prime factorization of 14956 in exponential form is:

14956 = 2² × 3739¹

Step-3: Factors of 14944

List of positive integer factors of 14944 that divides 14944 without a remainder.

1, 2, 4, 8, 16, 32, 467, 934, 1868, 3736, 7472

Step-4: Factors of 14956

List of positive integer factors of 14956 that divides 14944 without a remainder.

1, 2, 4, 3739, 7478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14944 and 14956. The biggest common factor number is the GCF number.
So the greatest common factor 14944 and 14956 is 4.

Also check out the Least Common Multiple of 14944 and 14956