What is the Greatest Common Factor of 10370 and 10375?

Greatest common factor (GCF) of 10370 and 10375 is 5.

GCF(10370,10375) = 5

We will now calculate the prime factors of 10370 and 10375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10370 and 10375.

How to find the GCF of 10370 and 10375?

We will first find the prime factorization of 10370 and 10375. After we will calculate the factors of 10370 and 10375 and find the biggest common factor number .

Step-1: Prime Factorization of 10370

Prime factors of 10370 are 2, 5, 17, 61. Prime factorization of 10370 in exponential form is:

10370 = 2¹ × 5¹ × 17¹ × 61¹

Step-2: Prime Factorization of 10375

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

10375 = 5³ × 83¹

Step-3: Factors of 10370

List of positive integer factors of 10370 that divides 10370 without a remainder.

1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185

Step-4: Factors of 10375

List of positive integer factors of 10375 that divides 10370 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10370 and 10375. The biggest common factor number is the GCF number.
So the greatest common factor 10370 and 10375 is 5.

Also check out the Least Common Multiple of 10370 and 10375