What is the Greatest Common Factor of 69249 and 69255?

Greatest common factor (GCF) of 69249 and 69255 is 3.

GCF(69249,69255) = 3

We will now calculate the prime factors of 69249 and 69255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69249 and 69255.

How to find the GCF of 69249 and 69255?

We will first find the prime factorization of 69249 and 69255. After we will calculate the factors of 69249 and 69255 and find the biggest common factor number .

Step-1: Prime Factorization of 69249

Prime factors of 69249 are 3, 41, 563. Prime factorization of 69249 in exponential form is:

69249 = 3¹ × 41¹ × 563¹

Step-2: Prime Factorization of 69255

Prime factors of 69255 are 3, 5, 19. Prime factorization of 69255 in exponential form is:

69255 = 3⁶ × 5¹ × 19¹

Step-3: Factors of 69249

List of positive integer factors of 69249 that divides 69249 without a remainder.

1, 3, 41, 123, 563, 1689, 23083

Step-4: Factors of 69255

List of positive integer factors of 69255 that divides 69249 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 243, 285, 405, 513, 729, 855, 1215, 1539, 2565, 3645, 4617, 7695, 13851, 23085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69249 and 69255. The biggest common factor number is the GCF number.
So the greatest common factor 69249 and 69255 is 3.

Also check out the Least Common Multiple of 69249 and 69255