What is the Greatest Common Factor of 14958 and 14976?

Greatest common factor (GCF) of 14958 and 14976 is 18.

GCF(14958,14976) = 18

We will now calculate the prime factors of 14958 and 14976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14958 and 14976.

How to find the GCF of 14958 and 14976?

We will first find the prime factorization of 14958 and 14976. After we will calculate the factors of 14958 and 14976 and find the biggest common factor number .

Step-1: Prime Factorization of 14958

Prime factors of 14958 are 2, 3, 277. Prime factorization of 14958 in exponential form is:

14958 = 2¹ × 3³ × 277¹

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 14958

List of positive integer factors of 14958 that divides 14958 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 277, 554, 831, 1662, 2493, 4986, 7479

Step-4: Factors of 14976

List of positive integer factors of 14976 that divides 14958 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 14958 and 14976. The biggest common factor number is the GCF number.
So the greatest common factor 14958 and 14976 is 18.

Also check out the Least Common Multiple of 14958 and 14976