What is the Greatest Common Factor of 14974 and 14993?

Greatest common factor (GCF) of 14974 and 14993 is 1.

GCF(14974,14993) = 1

We will now calculate the prime factors of 14974 and 14993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14974 and 14993.

How to find the GCF of 14974 and 14993?

We will first find the prime factorization of 14974 and 14993. After we will calculate the factors of 14974 and 14993 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 14993

Prime factors of 14993 are 11, 29, 47. Prime factorization of 14993 in exponential form is:

14993 = 11¹ × 29¹ × 47¹

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 14993

List of positive integer factors of 14993 that divides 14974 without a remainder.

1, 11, 29, 47, 319, 517, 1363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14974 and 14993. The biggest common factor number is the GCF number.
So the greatest common factor 14974 and 14993 is 1.

Also check out the Least Common Multiple of 14974 and 14993