What is the Greatest Common Factor of 15144 and 15157?

Greatest common factor (GCF) of 15144 and 15157 is 1.

GCF(15144,15157) = 1

We will now calculate the prime factors of 15144 and 15157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15144 and 15157.

How to find the GCF of 15144 and 15157?

We will first find the prime factorization of 15144 and 15157. After we will calculate the factors of 15144 and 15157 and find the biggest common factor number .

Step-1: Prime Factorization of 15144

Prime factors of 15144 are 2, 3, 631. Prime factorization of 15144 in exponential form is:

15144 = 2³ × 3¹ × 631¹

Step-2: Prime Factorization of 15157

Prime factors of 15157 are 23, 659. Prime factorization of 15157 in exponential form is:

15157 = 23¹ × 659¹

Step-3: Factors of 15144

List of positive integer factors of 15144 that divides 15144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 631, 1262, 1893, 2524, 3786, 5048, 7572

Step-4: Factors of 15157

List of positive integer factors of 15157 that divides 15144 without a remainder.

1, 23, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15144 and 15157. The biggest common factor number is the GCF number.
So the greatest common factor 15144 and 15157 is 1.

Also check out the Least Common Multiple of 15144 and 15157