What is the Greatest Common Factor of 15255 and 15261?

Greatest common factor (GCF) of 15255 and 15261 is 3.

GCF(15255,15261) = 3

We will now calculate the prime factors of 15255 and 15261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15255 and 15261.

How to find the GCF of 15255 and 15261?

We will first find the prime factorization of 15255 and 15261. After we will calculate the factors of 15255 and 15261 and find the biggest common factor number .

Step-1: Prime Factorization of 15255

Prime factors of 15255 are 3, 5, 113. Prime factorization of 15255 in exponential form is:

15255 = 3³ × 5¹ × 113¹

Step-2: Prime Factorization of 15261

Prime factors of 15261 are 3, 5087. Prime factorization of 15261 in exponential form is:

15261 = 3¹ × 5087¹

Step-3: Factors of 15255

List of positive integer factors of 15255 that divides 15255 without a remainder.

1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085

Step-4: Factors of 15261

List of positive integer factors of 15261 that divides 15255 without a remainder.

1, 3, 5087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15255 and 15261. The biggest common factor number is the GCF number.
So the greatest common factor 15255 and 15261 is 3.

Also check out the Least Common Multiple of 15255 and 15261