What is the Greatest Common Factor of 15004 and 15022?

Greatest common factor (GCF) of 15004 and 15022 is 2.

GCF(15004,15022) = 2

We will now calculate the prime factors of 15004 and 15022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15004 and 15022.

How to find the GCF of 15004 and 15022?

We will first find the prime factorization of 15004 and 15022. After we will calculate the factors of 15004 and 15022 and find the biggest common factor number .

Step-1: Prime Factorization of 15004

Prime factors of 15004 are 2, 11, 31. Prime factorization of 15004 in exponential form is:

15004 = 2² × 11² × 31¹

Step-2: Prime Factorization of 15022

Prime factors of 15022 are 2, 7, 29, 37. Prime factorization of 15022 in exponential form is:

15022 = 2¹ × 7¹ × 29¹ × 37¹

Step-3: Factors of 15004

List of positive integer factors of 15004 that divides 15004 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 121, 124, 242, 341, 484, 682, 1364, 3751, 7502

Step-4: Factors of 15022

List of positive integer factors of 15022 that divides 15004 without a remainder.

1, 2, 7, 14, 29, 37, 58, 74, 203, 259, 406, 518, 1073, 2146, 7511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15004 and 15022. The biggest common factor number is the GCF number.
So the greatest common factor 15004 and 15022 is 2.

Also check out the Least Common Multiple of 15004 and 15022