What is the Greatest Common Factor of 15024 and 15042?

Greatest common factor (GCF) of 15024 and 15042 is 6.

GCF(15024,15042) = 6

We will now calculate the prime factors of 15024 and 15042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15024 and 15042.

How to find the GCF of 15024 and 15042?

We will first find the prime factorization of 15024 and 15042. After we will calculate the factors of 15024 and 15042 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 15042

Prime factors of 15042 are 2, 3, 23, 109. Prime factorization of 15042 in exponential form is:

15042 = 2¹ × 3¹ × 23¹ × 109¹

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 15042

List of positive integer factors of 15042 that divides 15024 without a remainder.

1, 2, 3, 6, 23, 46, 69, 109, 138, 218, 327, 654, 2507, 5014, 7521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15024 and 15042. The biggest common factor number is the GCF number.
So the greatest common factor 15024 and 15042 is 6.

Also check out the Least Common Multiple of 15024 and 15042