What is the Greatest Common Factor of 15030 and 15038?

Greatest common factor (GCF) of 15030 and 15038 is 2.

GCF(15030,15038) = 2

We will now calculate the prime factors of 15030 and 15038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15030 and 15038.

How to find the GCF of 15030 and 15038?

We will first find the prime factorization of 15030 and 15038. After we will calculate the factors of 15030 and 15038 and find the biggest common factor number .

Step-1: Prime Factorization of 15030

Prime factors of 15030 are 2, 3, 5, 167. Prime factorization of 15030 in exponential form is:

15030 = 2¹ × 3² × 5¹ × 167¹

Step-2: Prime Factorization of 15038

Prime factors of 15038 are 2, 73, 103. Prime factorization of 15038 in exponential form is:

15038 = 2¹ × 73¹ × 103¹

Step-3: Factors of 15030

List of positive integer factors of 15030 that divides 15030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 167, 334, 501, 835, 1002, 1503, 1670, 2505, 3006, 5010, 7515

Step-4: Factors of 15038

List of positive integer factors of 15038 that divides 15030 without a remainder.

1, 2, 73, 103, 146, 206, 7519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15030 and 15038. The biggest common factor number is the GCF number.
So the greatest common factor 15030 and 15038 is 2.

Also check out the Least Common Multiple of 15030 and 15038