What is the Greatest Common Factor of 38375 and 38379?

Greatest common factor (GCF) of 38375 and 38379 is 1.

GCF(38375,38379) = 1

We will now calculate the prime factors of 38375 and 38379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38375 and 38379.

How to find the GCF of 38375 and 38379?

We will first find the prime factorization of 38375 and 38379. After we will calculate the factors of 38375 and 38379 and find the biggest common factor number .

Step-1: Prime Factorization of 38375

Prime factors of 38375 are 5, 307. Prime factorization of 38375 in exponential form is:

38375 = 5³ × 307¹

Step-2: Prime Factorization of 38379

Prime factors of 38379 are 3, 11, 1163. Prime factorization of 38379 in exponential form is:

38379 = 3¹ × 11¹ × 1163¹

Step-3: Factors of 38375

List of positive integer factors of 38375 that divides 38375 without a remainder.

1, 5, 25, 125, 307, 1535, 7675

Step-4: Factors of 38379

List of positive integer factors of 38379 that divides 38375 without a remainder.

1, 3, 11, 33, 1163, 3489, 12793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38375 and 38379. The biggest common factor number is the GCF number.
So the greatest common factor 38375 and 38379 is 1.

Also check out the Least Common Multiple of 38375 and 38379