What is the Greatest Common Factor of 63370 and 63375?

Greatest common factor (GCF) of 63370 and 63375 is 5.

GCF(63370,63375) = 5

We will now calculate the prime factors of 63370 and 63375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63370 and 63375.

How to find the GCF of 63370 and 63375?

We will first find the prime factorization of 63370 and 63375. After we will calculate the factors of 63370 and 63375 and find the biggest common factor number .

Step-1: Prime Factorization of 63370

Prime factors of 63370 are 2, 5, 6337. Prime factorization of 63370 in exponential form is:

63370 = 2¹ × 5¹ × 6337¹

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 63370

List of positive integer factors of 63370 that divides 63370 without a remainder.

1, 2, 5, 10, 6337, 12674, 31685

Step-4: Factors of 63375

List of positive integer factors of 63375 that divides 63370 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 63370 and 63375. The biggest common factor number is the GCF number.
So the greatest common factor 63370 and 63375 is 5.

Also check out the Least Common Multiple of 63370 and 63375