What is the Greatest Common Factor of 63375 and 63388?

Greatest common factor (GCF) of 63375 and 63388 is 13.

GCF(63375,63388) = 13

We will now calculate the prime factors of 63375 and 63388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63375 and 63388.

How to find the GCF of 63375 and 63388?

We will first find the prime factorization of 63375 and 63388. After we will calculate the factors of 63375 and 63388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63388

Prime factors of 63388 are 2, 13, 23, 53. Prime factorization of 63388 in exponential form is:

63388 = 2² × 13¹ × 23¹ × 53¹

Step-3: Factors of 63375

List of positive integer factors of 63375 that divides 63375 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

Step-4: Factors of 63388

List of positive integer factors of 63388 that divides 63375 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 53, 92, 106, 212, 299, 598, 689, 1196, 1219, 1378, 2438, 2756, 4876, 15847, 31694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63375 and 63388. The biggest common factor number is the GCF number.
So the greatest common factor 63375 and 63388 is 13.

Also check out the Least Common Multiple of 63375 and 63388