What is the Greatest Common Factor of 15002 and 15022?

Greatest common factor (GCF) of 15002 and 15022 is 2.

GCF(15002,15022) = 2

We will now calculate the prime factors of 15002 and 15022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15002 and 15022.

How to find the GCF of 15002 and 15022?

We will first find the prime factorization of 15002 and 15022. After we will calculate the factors of 15002 and 15022 and find the biggest common factor number .

Step-1: Prime Factorization of 15002

Prime factors of 15002 are 2, 13, 577. Prime factorization of 15002 in exponential form is:

15002 = 2¹ × 13¹ × 577¹

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 15002

List of positive integer factors of 15002 that divides 15002 without a remainder.

1, 2, 13, 26, 577, 1154, 7501

Step-4: Factors of 15022

List of positive integer factors of 15022 that divides 15002 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 15002 and 15022. The biggest common factor number is the GCF number.
So the greatest common factor 15002 and 15022 is 2.

Also check out the Least Common Multiple of 15002 and 15022