What is the Greatest Common Factor of 17555 and 17570?

Greatest common factor (GCF) of 17555 and 17570 is 5.

GCF(17555,17570) = 5

We will now calculate the prime factors of 17555 and 17570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17555 and 17570.

How to find the GCF of 17555 and 17570?

We will first find the prime factorization of 17555 and 17570. After we will calculate the factors of 17555 and 17570 and find the biggest common factor number .

Step-1: Prime Factorization of 17555

Prime factors of 17555 are 5, 3511. Prime factorization of 17555 in exponential form is:

17555 = 5¹ × 3511¹

Step-2: Prime Factorization of 17570

Prime factors of 17570 are 2, 5, 7, 251. Prime factorization of 17570 in exponential form is:

17570 = 2¹ × 5¹ × 7¹ × 251¹

Step-3: Factors of 17555

List of positive integer factors of 17555 that divides 17555 without a remainder.

1, 5, 3511

Step-4: Factors of 17570

List of positive integer factors of 17570 that divides 17555 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 251, 502, 1255, 1757, 2510, 3514, 8785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17555 and 17570. The biggest common factor number is the GCF number.
So the greatest common factor 17555 and 17570 is 5.

Also check out the Least Common Multiple of 17555 and 17570