What is the Greatest Common Factor of 15024 and 15039?

Greatest common factor (GCF) of 15024 and 15039 is 3.

GCF(15024,15039) = 3

We will now calculate the prime factors of 15024 and 15039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15024 and 15039.

How to find the GCF of 15024 and 15039?

We will first find the prime factorization of 15024 and 15039. After we will calculate the factors of 15024 and 15039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15039

Prime factors of 15039 are 3, 557. Prime factorization of 15039 in exponential form is:

15039 = 3³ × 557¹

Step-3: Factors of 15024

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

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

Step-4: Factors of 15039

List of positive integer factors of 15039 that divides 15024 without a remainder.

1, 3, 9, 27, 557, 1671, 5013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15024 and 15039. The biggest common factor number is the GCF number.
So the greatest common factor 15024 and 15039 is 3.

Also check out the Least Common Multiple of 15024 and 15039