What is the Greatest Common Factor of 39255 and 39261?

Greatest common factor (GCF) of 39255 and 39261 is 3.

GCF(39255,39261) = 3

We will now calculate the prime factors of 39255 and 39261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39255 and 39261.

How to find the GCF of 39255 and 39261?

We will first find the prime factorization of 39255 and 39261. After we will calculate the factors of 39255 and 39261 and find the biggest common factor number .

Step-1: Prime Factorization of 39255

Prime factors of 39255 are 3, 5, 2617. Prime factorization of 39255 in exponential form is:

39255 = 3¹ × 5¹ × 2617¹

Step-2: Prime Factorization of 39261

Prime factors of 39261 are 3, 23, 569. Prime factorization of 39261 in exponential form is:

39261 = 3¹ × 23¹ × 569¹

Step-3: Factors of 39255

List of positive integer factors of 39255 that divides 39255 without a remainder.

1, 3, 5, 15, 2617, 7851, 13085

Step-4: Factors of 39261

List of positive integer factors of 39261 that divides 39255 without a remainder.

1, 3, 23, 69, 569, 1707, 13087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39255 and 39261. The biggest common factor number is the GCF number.
So the greatest common factor 39255 and 39261 is 3.

Also check out the Least Common Multiple of 39255 and 39261