What is the Greatest Common Factor of 15072 and 15083?

Greatest common factor (GCF) of 15072 and 15083 is 1.

GCF(15072,15083) = 1

We will now calculate the prime factors of 15072 and 15083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15072 and 15083.

How to find the GCF of 15072 and 15083?

We will first find the prime factorization of 15072 and 15083. After we will calculate the factors of 15072 and 15083 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 15083

Prime factors of 15083 are 15083. Prime factorization of 15083 in exponential form is:

15083 = 15083¹

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 15083

List of positive integer factors of 15083 that divides 15072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15072 and 15083. The biggest common factor number is the GCF number.
So the greatest common factor 15072 and 15083 is 1.

Also check out the Least Common Multiple of 15072 and 15083