What is the Greatest Common Factor of 14974 and 14982?

Greatest common factor (GCF) of 14974 and 14982 is 2.

GCF(14974,14982) = 2

We will now calculate the prime factors of 14974 and 14982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14974 and 14982.

How to find the GCF of 14974 and 14982?

We will first find the prime factorization of 14974 and 14982. After we will calculate the factors of 14974 and 14982 and find the biggest common factor number .

Step-1: Prime Factorization of 14974

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

14974 = 2¹ × 7487¹

Step-2: Prime Factorization of 14982

Prime factors of 14982 are 2, 3, 11, 227. Prime factorization of 14982 in exponential form is:

14982 = 2¹ × 3¹ × 11¹ × 227¹

Step-3: Factors of 14974

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

1, 2, 7487

Step-4: Factors of 14982

List of positive integer factors of 14982 that divides 14974 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 227, 454, 681, 1362, 2497, 4994, 7491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14974 and 14982. The biggest common factor number is the GCF number.
So the greatest common factor 14974 and 14982 is 2.

Also check out the Least Common Multiple of 14974 and 14982