What is the Greatest Common Factor of 17540 and 17545?

Greatest common factor (GCF) of 17540 and 17545 is 5.

GCF(17540,17545) = 5

We will now calculate the prime factors of 17540 and 17545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17540 and 17545.

How to find the GCF of 17540 and 17545?

We will first find the prime factorization of 17540 and 17545. After we will calculate the factors of 17540 and 17545 and find the biggest common factor number .

Step-1: Prime Factorization of 17540

Prime factors of 17540 are 2, 5, 877. Prime factorization of 17540 in exponential form is:

17540 = 2² × 5¹ × 877¹

Step-2: Prime Factorization of 17545

Prime factors of 17545 are 5, 11, 29. Prime factorization of 17545 in exponential form is:

17545 = 5¹ × 11² × 29¹

Step-3: Factors of 17540

List of positive integer factors of 17540 that divides 17540 without a remainder.

1, 2, 4, 5, 10, 20, 877, 1754, 3508, 4385, 8770

Step-4: Factors of 17545

List of positive integer factors of 17545 that divides 17540 without a remainder.

1, 5, 11, 29, 55, 121, 145, 319, 605, 1595, 3509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17540 and 17545. The biggest common factor number is the GCF number.
So the greatest common factor 17540 and 17545 is 5.

Also check out the Least Common Multiple of 17540 and 17545