What is the Greatest Common Factor of 14944 and 14960?

Greatest common factor (GCF) of 14944 and 14960 is 16.

GCF(14944,14960) = 16

We will now calculate the prime factors of 14944 and 14960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14944 and 14960.

How to find the GCF of 14944 and 14960?

We will first find the prime factorization of 14944 and 14960. After we will calculate the factors of 14944 and 14960 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 14960

Prime factors of 14960 are 2, 5, 11, 17. Prime factorization of 14960 in exponential form is:

14960 = 2⁴ × 5¹ × 11¹ × 17¹

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 14960

List of positive integer factors of 14960 that divides 14944 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 34, 40, 44, 55, 68, 80, 85, 88, 110, 136, 170, 176, 187, 220, 272, 340, 374, 440, 680, 748, 880, 935, 1360, 1496, 1870, 2992, 3740, 7480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14944 and 14960. The biggest common factor number is the GCF number.
So the greatest common factor 14944 and 14960 is 16.

Also check out the Least Common Multiple of 14944 and 14960