What is the Greatest Common Factor of 8375 and 8385?

Greatest common factor (GCF) of 8375 and 8385 is 5.

GCF(8375,8385) = 5

We will now calculate the prime factors of 8375 and 8385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8375 and 8385.

How to find the GCF of 8375 and 8385?

We will first find the prime factorization of 8375 and 8385. After we will calculate the factors of 8375 and 8385 and find the biggest common factor number .

Step-1: Prime Factorization of 8375

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

8375 = 5³ × 67¹

Step-2: Prime Factorization of 8385

Prime factors of 8385 are 3, 5, 13, 43. Prime factorization of 8385 in exponential form is:

8385 = 3¹ × 5¹ × 13¹ × 43¹

Step-3: Factors of 8375

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

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

Step-4: Factors of 8385

List of positive integer factors of 8385 that divides 8375 without a remainder.

1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8375 and 8385. The biggest common factor number is the GCF number.
So the greatest common factor 8375 and 8385 is 5.

Also check out the Least Common Multiple of 8375 and 8385