What is the Greatest Common Factor of 64255 and 64265?

Greatest common factor (GCF) of 64255 and 64265 is 5.

GCF(64255,64265) = 5

We will now calculate the prime factors of 64255 and 64265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64255 and 64265.

How to find the GCF of 64255 and 64265?

We will first find the prime factorization of 64255 and 64265. After we will calculate the factors of 64255 and 64265 and find the biggest common factor number .

Step-1: Prime Factorization of 64255

Prime factors of 64255 are 5, 71, 181. Prime factorization of 64255 in exponential form is:

64255 = 5¹ × 71¹ × 181¹

Step-2: Prime Factorization of 64265

Prime factors of 64265 are 5, 12853. Prime factorization of 64265 in exponential form is:

64265 = 5¹ × 12853¹

Step-3: Factors of 64255

List of positive integer factors of 64255 that divides 64255 without a remainder.

1, 5, 71, 181, 355, 905, 12851

Step-4: Factors of 64265

List of positive integer factors of 64265 that divides 64255 without a remainder.

1, 5, 12853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64255 and 64265. The biggest common factor number is the GCF number.
So the greatest common factor 64255 and 64265 is 5.

Also check out the Least Common Multiple of 64255 and 64265