What is the Greatest Common Factor of 15072 and 15077?

Greatest common factor (GCF) of 15072 and 15077 is 1.

GCF(15072,15077) = 1

We will now calculate the prime factors of 15072 and 15077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15072 and 15077.

How to find the GCF of 15072 and 15077?

We will first find the prime factorization of 15072 and 15077. After we will calculate the factors of 15072 and 15077 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 15077

Prime factors of 15077 are 15077. Prime factorization of 15077 in exponential form is:

15077 = 15077¹

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 15077

List of positive integer factors of 15077 that divides 15072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15072 and 15077. The biggest common factor number is the GCF number.
So the greatest common factor 15072 and 15077 is 1.

Also check out the Least Common Multiple of 15072 and 15077