What is the Greatest Common Factor of 15072 and 15081?

Greatest common factor (GCF) of 15072 and 15081 is 3.

GCF(15072,15081) = 3

We will now calculate the prime factors of 15072 and 15081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15072 and 15081.

How to find the GCF of 15072 and 15081?

We will first find the prime factorization of 15072 and 15081. After we will calculate the factors of 15072 and 15081 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 15081

Prime factors of 15081 are 3, 11, 457. Prime factorization of 15081 in exponential form is:

15081 = 3¹ × 11¹ × 457¹

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 15081

List of positive integer factors of 15081 that divides 15072 without a remainder.

1, 3, 11, 33, 457, 1371, 5027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15072 and 15081. The biggest common factor number is the GCF number.
So the greatest common factor 15072 and 15081 is 3.

Also check out the Least Common Multiple of 15072 and 15081