What is the Greatest Common Factor of 17590 and 17610?

Greatest common factor (GCF) of 17590 and 17610 is 10.

GCF(17590,17610) = 10

We will now calculate the prime factors of 17590 and 17610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17590 and 17610.

How to find the GCF of 17590 and 17610?

We will first find the prime factorization of 17590 and 17610. After we will calculate the factors of 17590 and 17610 and find the biggest common factor number .

Step-1: Prime Factorization of 17590

Prime factors of 17590 are 2, 5, 1759. Prime factorization of 17590 in exponential form is:

17590 = 2¹ × 5¹ × 1759¹

Step-2: Prime Factorization of 17610

Prime factors of 17610 are 2, 3, 5, 587. Prime factorization of 17610 in exponential form is:

17610 = 2¹ × 3¹ × 5¹ × 587¹

Step-3: Factors of 17590

List of positive integer factors of 17590 that divides 17590 without a remainder.

1, 2, 5, 10, 1759, 3518, 8795

Step-4: Factors of 17610

List of positive integer factors of 17610 that divides 17590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 587, 1174, 1761, 2935, 3522, 5870, 8805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17590 and 17610. The biggest common factor number is the GCF number.
So the greatest common factor 17590 and 17610 is 10.

Also check out the Least Common Multiple of 17590 and 17610