What is the Greatest Common Factor of 15000 and 15015?

Greatest common factor (GCF) of 15000 and 15015 is 15.

GCF(15000,15015) = 15

We will now calculate the prime factors of 15000 and 15015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15000 and 15015.

How to find the GCF of 15000 and 15015?

We will first find the prime factorization of 15000 and 15015. After we will calculate the factors of 15000 and 15015 and find the biggest common factor number .

Step-1: Prime Factorization of 15000

Prime factors of 15000 are 2, 3, 5. Prime factorization of 15000 in exponential form is:

15000 = 2³ × 3¹ × 5⁴

Step-2: Prime Factorization of 15015

Prime factors of 15015 are 3, 5, 7, 11, 13. Prime factorization of 15015 in exponential form is:

15015 = 3¹ × 5¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 15000

List of positive integer factors of 15000 that divides 15000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500

Step-4: Factors of 15015

List of positive integer factors of 15015 that divides 15000 without a remainder.

1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105, 143, 165, 195, 231, 273, 385, 429, 455, 715, 1001, 1155, 1365, 2145, 3003, 5005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15000 and 15015. The biggest common factor number is the GCF number.
So the greatest common factor 15000 and 15015 is 15.

Also check out the Least Common Multiple of 15000 and 15015