What is the Greatest Common Factor of 17590 and 17600?

Greatest common factor (GCF) of 17590 and 17600 is 10.

GCF(17590,17600) = 10

We will now calculate the prime factors of 17590 and 17600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17590 and 17600.

How to find the GCF of 17590 and 17600?

We will first find the prime factorization of 17590 and 17600. After we will calculate the factors of 17590 and 17600 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 17600

Prime factors of 17600 are 2, 5, 11. Prime factorization of 17600 in exponential form is:

17600 = 2⁶ × 5² × 11¹

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 17600

List of positive integer factors of 17600 that divides 17590 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 704, 800, 880, 1100, 1600, 1760, 2200, 3520, 4400, 8800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17590 and 17600. The biggest common factor number is the GCF number.
So the greatest common factor 17590 and 17600 is 10.

Also check out the Least Common Multiple of 17590 and 17600