What is the Greatest Common Factor of 69235 and 69255?

Greatest common factor (GCF) of 69235 and 69255 is 5.

GCF(69235,69255) = 5

We will now calculate the prime factors of 69235 and 69255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69235 and 69255.

How to find the GCF of 69235 and 69255?

We will first find the prime factorization of 69235 and 69255. After we will calculate the factors of 69235 and 69255 and find the biggest common factor number .

Step-1: Prime Factorization of 69235

Prime factors of 69235 are 5, 61, 227. Prime factorization of 69235 in exponential form is:

69235 = 5¹ × 61¹ × 227¹

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 69235

List of positive integer factors of 69235 that divides 69235 without a remainder.

1, 5, 61, 227, 305, 1135, 13847

Step-4: Factors of 69255

List of positive integer factors of 69255 that divides 69235 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 69235 and 69255. The biggest common factor number is the GCF number.
So the greatest common factor 69235 and 69255 is 5.

Also check out the Least Common Multiple of 69235 and 69255