What is the Greatest Common Factor of 63362 and 63375?

Greatest common factor (GCF) of 63362 and 63375 is 13.

GCF(63362,63375) = 13

We will now calculate the prime factors of 63362 and 63375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63362 and 63375.

How to find the GCF of 63362 and 63375?

We will first find the prime factorization of 63362 and 63375. After we will calculate the factors of 63362 and 63375 and find the biggest common factor number .

Step-1: Prime Factorization of 63362

Prime factors of 63362 are 2, 13, 2437. Prime factorization of 63362 in exponential form is:

63362 = 2¹ × 13¹ × 2437¹

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 63362

List of positive integer factors of 63362 that divides 63362 without a remainder.

1, 2, 13, 26, 2437, 4874, 31681

Step-4: Factors of 63375

List of positive integer factors of 63375 that divides 63362 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 63362 and 63375. The biggest common factor number is the GCF number.
So the greatest common factor 63362 and 63375 is 13.

Also check out the Least Common Multiple of 63362 and 63375