What is the Greatest Common Factor of 14993 and 15013?

Greatest common factor (GCF) of 14993 and 15013 is 1.

GCF(14993,15013) = 1

We will now calculate the prime factors of 14993 and 15013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14993 and 15013.

How to find the GCF of 14993 and 15013?

We will first find the prime factorization of 14993 and 15013. After we will calculate the factors of 14993 and 15013 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15013

Prime factors of 15013 are 15013. Prime factorization of 15013 in exponential form is:

15013 = 15013¹

Step-3: Factors of 14993

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

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

Step-4: Factors of 15013

List of positive integer factors of 15013 that divides 14993 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14993 and 15013. The biggest common factor number is the GCF number.
So the greatest common factor 14993 and 15013 is 1.

Also check out the Least Common Multiple of 14993 and 15013