What is the Greatest Common Factor of 8364 and 8375?

Greatest common factor (GCF) of 8364 and 8375 is 1.

GCF(8364,8375) = 1

We will now calculate the prime factors of 8364 and 8375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8364 and 8375.

How to find the GCF of 8364 and 8375?

We will first find the prime factorization of 8364 and 8375. After we will calculate the factors of 8364 and 8375 and find the biggest common factor number .

Step-1: Prime Factorization of 8364

Prime factors of 8364 are 2, 3, 17, 41. Prime factorization of 8364 in exponential form is:

8364 = 2² × 3¹ × 17¹ × 41¹

Step-2: Prime Factorization of 8375

Prime factors of 8375 are 5, 67. Prime factorization of 8375 in exponential form is:

8375 = 5³ × 67¹

Step-3: Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182

Step-4: Factors of 8375

List of positive integer factors of 8375 that divides 8364 without a remainder.

1, 5, 25, 67, 125, 335, 1675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8364 and 8375. The biggest common factor number is the GCF number.
So the greatest common factor 8364 and 8375 is 1.

Also check out the Least Common Multiple of 8364 and 8375