What is the Greatest Common Factor of 63475 and 63495?

Greatest common factor (GCF) of 63475 and 63495 is 5.

GCF(63475,63495) = 5

We will now calculate the prime factors of 63475 and 63495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63475 and 63495.

How to find the GCF of 63475 and 63495?

We will first find the prime factorization of 63475 and 63495. After we will calculate the factors of 63475 and 63495 and find the biggest common factor number .

Step-1: Prime Factorization of 63475

Prime factors of 63475 are 5, 2539. Prime factorization of 63475 in exponential form is:

63475 = 5² × 2539¹

Step-2: Prime Factorization of 63495

Prime factors of 63495 are 3, 5, 17, 83. Prime factorization of 63495 in exponential form is:

63495 = 3² × 5¹ × 17¹ × 83¹

Step-3: Factors of 63475

List of positive integer factors of 63475 that divides 63475 without a remainder.

1, 5, 25, 2539, 12695

Step-4: Factors of 63495

List of positive integer factors of 63495 that divides 63475 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 83, 85, 153, 249, 255, 415, 747, 765, 1245, 1411, 3735, 4233, 7055, 12699, 21165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63475 and 63495. The biggest common factor number is the GCF number.
So the greatest common factor 63475 and 63495 is 5.

Also check out the Least Common Multiple of 63475 and 63495