What is the Greatest Common Factor of 63265 and 63285?

Greatest common factor (GCF) of 63265 and 63285 is 5.

GCF(63265,63285) = 5

We will now calculate the prime factors of 63265 and 63285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63265 and 63285.

How to find the GCF of 63265 and 63285?

We will first find the prime factorization of 63265 and 63285. After we will calculate the factors of 63265 and 63285 and find the biggest common factor number .

Step-1: Prime Factorization of 63265

Prime factors of 63265 are 5, 12653. Prime factorization of 63265 in exponential form is:

63265 = 5¹ × 12653¹

Step-2: Prime Factorization of 63285

Prime factors of 63285 are 3, 5, 4219. Prime factorization of 63285 in exponential form is:

63285 = 3¹ × 5¹ × 4219¹

Step-3: Factors of 63265

List of positive integer factors of 63265 that divides 63265 without a remainder.

1, 5, 12653

Step-4: Factors of 63285

List of positive integer factors of 63285 that divides 63265 without a remainder.

1, 3, 5, 15, 4219, 12657, 21095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63265 and 63285. The biggest common factor number is the GCF number.
So the greatest common factor 63265 and 63285 is 5.

Also check out the Least Common Multiple of 63265 and 63285