What is the Greatest Common Factor of 17675 and 17695?

Greatest common factor (GCF) of 17675 and 17695 is 5.

GCF(17675,17695) = 5

We will now calculate the prime factors of 17675 and 17695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17675 and 17695.

How to find the GCF of 17675 and 17695?

We will first find the prime factorization of 17675 and 17695. After we will calculate the factors of 17675 and 17695 and find the biggest common factor number .

Step-1: Prime Factorization of 17675

Prime factors of 17675 are 5, 7, 101. Prime factorization of 17675 in exponential form is:

17675 = 5² × 7¹ × 101¹

Step-2: Prime Factorization of 17695

Prime factors of 17695 are 5, 3539. Prime factorization of 17695 in exponential form is:

17695 = 5¹ × 3539¹

Step-3: Factors of 17675

List of positive integer factors of 17675 that divides 17675 without a remainder.

1, 5, 7, 25, 35, 101, 175, 505, 707, 2525, 3535

Step-4: Factors of 17695

List of positive integer factors of 17695 that divides 17675 without a remainder.

1, 5, 3539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17675 and 17695. The biggest common factor number is the GCF number.
So the greatest common factor 17675 and 17695 is 5.

Also check out the Least Common Multiple of 17675 and 17695