What is the Greatest Common Factor of 10375 and 10390?

Greatest common factor (GCF) of 10375 and 10390 is 5.

GCF(10375,10390) = 5

We will now calculate the prime factors of 10375 and 10390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10375 and 10390.

How to find the GCF of 10375 and 10390?

We will first find the prime factorization of 10375 and 10390. After we will calculate the factors of 10375 and 10390 and find the biggest common factor number .

Step-1: Prime Factorization of 10375

Prime factors of 10375 are 5, 83. Prime factorization of 10375 in exponential form is:

10375 = 5³ × 83¹

Step-2: Prime Factorization of 10390

Prime factors of 10390 are 2, 5, 1039. Prime factorization of 10390 in exponential form is:

10390 = 2¹ × 5¹ × 1039¹

Step-3: Factors of 10375

List of positive integer factors of 10375 that divides 10375 without a remainder.

1, 5, 25, 83, 125, 415, 2075

Step-4: Factors of 10390

List of positive integer factors of 10390 that divides 10375 without a remainder.

1, 2, 5, 10, 1039, 2078, 5195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10375 and 10390. The biggest common factor number is the GCF number.
So the greatest common factor 10375 and 10390 is 5.

Also check out the Least Common Multiple of 10375 and 10390