What is the Greatest Common Factor of 15030 and 15045?

Greatest common factor (GCF) of 15030 and 15045 is 15.

GCF(15030,15045) = 15

We will now calculate the prime factors of 15030 and 15045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15030 and 15045.

How to find the GCF of 15030 and 15045?

We will first find the prime factorization of 15030 and 15045. After we will calculate the factors of 15030 and 15045 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 15045

Prime factors of 15045 are 3, 5, 17, 59. Prime factorization of 15045 in exponential form is:

15045 = 3¹ × 5¹ × 17¹ × 59¹

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 15045

List of positive integer factors of 15045 that divides 15030 without a remainder.

1, 3, 5, 15, 17, 51, 59, 85, 177, 255, 295, 885, 1003, 3009, 5015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15030 and 15045. The biggest common factor number is the GCF number.
So the greatest common factor 15030 and 15045 is 15.

Also check out the Least Common Multiple of 15030 and 15045