What is the Greatest Common Factor of 63355 and 63375?

Greatest common factor (GCF) of 63355 and 63375 is 5.

GCF(63355,63375) = 5

We will now calculate the prime factors of 63355 and 63375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63355 and 63375.

How to find the GCF of 63355 and 63375?

We will first find the prime factorization of 63355 and 63375. After we will calculate the factors of 63355 and 63375 and find the biggest common factor number .

Step-1: Prime Factorization of 63355

Prime factors of 63355 are 5, 12671. Prime factorization of 63355 in exponential form is:

63355 = 5¹ × 12671¹

Step-2: Prime Factorization of 63375

Prime factors of 63375 are 3, 5, 13. Prime factorization of 63375 in exponential form is:

63375 = 3¹ × 5³ × 13²

Step-3: Factors of 63355

List of positive integer factors of 63355 that divides 63355 without a remainder.

1, 5, 12671

Step-4: Factors of 63375

List of positive integer factors of 63375 that divides 63355 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 169, 195, 325, 375, 507, 845, 975, 1625, 2535, 4225, 4875, 12675, 21125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63355 and 63375. The biggest common factor number is the GCF number.
So the greatest common factor 63355 and 63375 is 5.

Also check out the Least Common Multiple of 63355 and 63375