What is the Greatest Common Factor of 15030 and 15040?

Greatest common factor (GCF) of 15030 and 15040 is 10.

GCF(15030,15040) = 10

We will now calculate the prime factors of 15030 and 15040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15030 and 15040.

How to find the GCF of 15030 and 15040?

We will first find the prime factorization of 15030 and 15040. After we will calculate the factors of 15030 and 15040 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 15040

Prime factors of 15040 are 2, 5, 47. Prime factorization of 15040 in exponential form is:

15040 = 2⁶ × 5¹ × 47¹

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 15040

List of positive integer factors of 15040 that divides 15030 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188, 235, 320, 376, 470, 752, 940, 1504, 1880, 3008, 3760, 7520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15030 and 15040. The biggest common factor number is the GCF number.
So the greatest common factor 15030 and 15040 is 10.

Also check out the Least Common Multiple of 15030 and 15040