What is the Greatest Common Factor of 17525 and 17535?

Greatest common factor (GCF) of 17525 and 17535 is 5.

GCF(17525,17535) = 5

We will now calculate the prime factors of 17525 and 17535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17525 and 17535.

How to find the GCF of 17525 and 17535?

We will first find the prime factorization of 17525 and 17535. After we will calculate the factors of 17525 and 17535 and find the biggest common factor number .

Step-1: Prime Factorization of 17525

Prime factors of 17525 are 5, 701. Prime factorization of 17525 in exponential form is:

17525 = 5² × 701¹

Step-2: Prime Factorization of 17535

Prime factors of 17535 are 3, 5, 7, 167. Prime factorization of 17535 in exponential form is:

17535 = 3¹ × 5¹ × 7¹ × 167¹

Step-3: Factors of 17525

List of positive integer factors of 17525 that divides 17525 without a remainder.

1, 5, 25, 701, 3505

Step-4: Factors of 17535

List of positive integer factors of 17535 that divides 17525 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 167, 501, 835, 1169, 2505, 3507, 5845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17525 and 17535. The biggest common factor number is the GCF number.
So the greatest common factor 17525 and 17535 is 5.

Also check out the Least Common Multiple of 17525 and 17535