What is the Greatest Common Factor of 15072 and 15087?

Greatest common factor (GCF) of 15072 and 15087 is 3.

GCF(15072,15087) = 3

We will now calculate the prime factors of 15072 and 15087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15072 and 15087.

How to find the GCF of 15072 and 15087?

We will first find the prime factorization of 15072 and 15087. After we will calculate the factors of 15072 and 15087 and find the biggest common factor number .

Step-1: Prime Factorization of 15072

Prime factors of 15072 are 2, 3, 157. Prime factorization of 15072 in exponential form is:

15072 = 2⁵ × 3¹ × 157¹

Step-2: Prime Factorization of 15087

Prime factors of 15087 are 3, 47, 107. Prime factorization of 15087 in exponential form is:

15087 = 3¹ × 47¹ × 107¹

Step-3: Factors of 15072

List of positive integer factors of 15072 that divides 15072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 5024, 7536

Step-4: Factors of 15087

List of positive integer factors of 15087 that divides 15072 without a remainder.

1, 3, 47, 107, 141, 321, 5029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15072 and 15087. The biggest common factor number is the GCF number.
So the greatest common factor 15072 and 15087 is 3.

Also check out the Least Common Multiple of 15072 and 15087