What is the Greatest Common Factor of 17360 and 17375?

Greatest common factor (GCF) of 17360 and 17375 is 5.

GCF(17360,17375) = 5

We will now calculate the prime factors of 17360 and 17375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17360 and 17375.

How to find the GCF of 17360 and 17375?

We will first find the prime factorization of 17360 and 17375. After we will calculate the factors of 17360 and 17375 and find the biggest common factor number .

Step-1: Prime Factorization of 17360

Prime factors of 17360 are 2, 5, 7, 31. Prime factorization of 17360 in exponential form is:

17360 = 2⁴ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 17375

Prime factors of 17375 are 5, 139. Prime factorization of 17375 in exponential form is:

17375 = 5³ × 139¹

Step-3: Factors of 17360

List of positive integer factors of 17360 that divides 17360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 35, 40, 56, 62, 70, 80, 112, 124, 140, 155, 217, 248, 280, 310, 434, 496, 560, 620, 868, 1085, 1240, 1736, 2170, 2480, 3472, 4340, 8680

Step-4: Factors of 17375

List of positive integer factors of 17375 that divides 17360 without a remainder.

1, 5, 25, 125, 139, 695, 3475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17360 and 17375. The biggest common factor number is the GCF number.
So the greatest common factor 17360 and 17375 is 5.

Also check out the Least Common Multiple of 17360 and 17375