What is the Greatest Common Factor of 17657 and 17675?

Greatest common factor (GCF) of 17657 and 17675 is 1.

GCF(17657,17675) = 1

We will now calculate the prime factors of 17657 and 17675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17657 and 17675.

How to find the GCF of 17657 and 17675?

We will first find the prime factorization of 17657 and 17675. After we will calculate the factors of 17657 and 17675 and find the biggest common factor number .

Step-1: Prime Factorization of 17657

Prime factors of 17657 are 17657. Prime factorization of 17657 in exponential form is:

17657 = 17657¹

Step-2: 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-3: Factors of 17657

List of positive integer factors of 17657 that divides 17657 without a remainder.

Step-4: Factors of 17675

List of positive integer factors of 17675 that divides 17657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17657 and 17675. The biggest common factor number is the GCF number.
So the greatest common factor 17657 and 17675 is 1.

Also check out the Least Common Multiple of 17657 and 17675