What is the Greatest Common Factor of 15072 and 15091?

Greatest common factor (GCF) of 15072 and 15091 is 1.

GCF(15072,15091) = 1

We will now calculate the prime factors of 15072 and 15091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15072 and 15091.

How to find the GCF of 15072 and 15091?

We will first find the prime factorization of 15072 and 15091. After we will calculate the factors of 15072 and 15091 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 15091

Prime factors of 15091 are 15091. Prime factorization of 15091 in exponential form is:

15091 = 15091¹

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 15091

List of positive integer factors of 15091 that divides 15072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15072 and 15091. The biggest common factor number is the GCF number.
So the greatest common factor 15072 and 15091 is 1.

Also check out the Least Common Multiple of 15072 and 15091