What is the Greatest Common Factor of 14963 and 14976?

Greatest common factor (GCF) of 14963 and 14976 is 13.

GCF(14963,14976) = 13

We will now calculate the prime factors of 14963 and 14976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14963 and 14976.

How to find the GCF of 14963 and 14976?

We will first find the prime factorization of 14963 and 14976. After we will calculate the factors of 14963 and 14976 and find the biggest common factor number .

Step-1: Prime Factorization of 14963

Prime factors of 14963 are 13, 1151. Prime factorization of 14963 in exponential form is:

14963 = 13¹ × 1151¹

Step-2: Prime Factorization of 14976

Prime factors of 14976 are 2, 3, 13. Prime factorization of 14976 in exponential form is:

14976 = 2⁷ × 3² × 13¹

Step-3: Factors of 14963

List of positive integer factors of 14963 that divides 14963 without a remainder.

1, 13, 1151

Step-4: Factors of 14976

List of positive integer factors of 14976 that divides 14963 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 128, 144, 156, 192, 208, 234, 288, 312, 384, 416, 468, 576, 624, 832, 936, 1152, 1248, 1664, 1872, 2496, 3744, 4992, 7488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14963 and 14976. The biggest common factor number is the GCF number.
So the greatest common factor 14963 and 14976 is 13.

Also check out the Least Common Multiple of 14963 and 14976