What is the Greatest Common Factor of 65235 and 65255?

Greatest common factor (GCF) of 65235 and 65255 is 5.

GCF(65235,65255) = 5

We will now calculate the prime factors of 65235 and 65255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65235 and 65255.

How to find the GCF of 65235 and 65255?

We will first find the prime factorization of 65235 and 65255. After we will calculate the factors of 65235 and 65255 and find the biggest common factor number .

Step-1: Prime Factorization of 65235

Prime factors of 65235 are 3, 5, 4349. Prime factorization of 65235 in exponential form is:

65235 = 3¹ × 5¹ × 4349¹

Step-2: Prime Factorization of 65255

Prime factors of 65255 are 5, 31, 421. Prime factorization of 65255 in exponential form is:

65255 = 5¹ × 31¹ × 421¹

Step-3: Factors of 65235

List of positive integer factors of 65235 that divides 65235 without a remainder.

1, 3, 5, 15, 4349, 13047, 21745

Step-4: Factors of 65255

List of positive integer factors of 65255 that divides 65235 without a remainder.

1, 5, 31, 155, 421, 2105, 13051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65235 and 65255. The biggest common factor number is the GCF number.
So the greatest common factor 65235 and 65255 is 5.

Also check out the Least Common Multiple of 65235 and 65255