What is the Greatest Common Factor of 14964 and 14974?

Greatest common factor (GCF) of 14964 and 14974 is 2.

GCF(14964,14974) = 2

We will now calculate the prime factors of 14964 and 14974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14964 and 14974.

How to find the GCF of 14964 and 14974?

We will first find the prime factorization of 14964 and 14974. After we will calculate the factors of 14964 and 14974 and find the biggest common factor number .

Step-1: Prime Factorization of 14964

Prime factors of 14964 are 2, 3, 29, 43. Prime factorization of 14964 in exponential form is:

14964 = 2² × 3¹ × 29¹ × 43¹

Step-2: Prime Factorization of 14974

Prime factors of 14974 are 2, 7487. Prime factorization of 14974 in exponential form is:

14974 = 2¹ × 7487¹

Step-3: Factors of 14964

List of positive integer factors of 14964 that divides 14964 without a remainder.

1, 2, 3, 4, 6, 12, 29, 43, 58, 86, 87, 116, 129, 172, 174, 258, 348, 516, 1247, 2494, 3741, 4988, 7482

Step-4: Factors of 14974

List of positive integer factors of 14974 that divides 14964 without a remainder.

1, 2, 7487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14964 and 14974. The biggest common factor number is the GCF number.
So the greatest common factor 14964 and 14974 is 2.

Also check out the Least Common Multiple of 14964 and 14974