What is the Greatest Common Factor of 15015 and 15024?

Greatest common factor (GCF) of 15015 and 15024 is 3.

GCF(15015,15024) = 3

We will now calculate the prime factors of 15015 and 15024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15015 and 15024.

How to find the GCF of 15015 and 15024?

We will first find the prime factorization of 15015 and 15024. After we will calculate the factors of 15015 and 15024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15024

Prime factors of 15024 are 2, 3, 313. Prime factorization of 15024 in exponential form is:

15024 = 2⁴ × 3¹ × 313¹

Step-3: Factors of 15015

List of positive integer factors of 15015 that divides 15015 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

Step-4: Factors of 15024

List of positive integer factors of 15024 that divides 15015 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15015 and 15024. The biggest common factor number is the GCF number.
So the greatest common factor 15015 and 15024 is 3.

Also check out the Least Common Multiple of 15015 and 15024