What is the Greatest Common Factor of 17540 and 17552?

Greatest common factor (GCF) of 17540 and 17552 is 4.

GCF(17540,17552) = 4

We will now calculate the prime factors of 17540 and 17552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17540 and 17552.

How to find the GCF of 17540 and 17552?

We will first find the prime factorization of 17540 and 17552. After we will calculate the factors of 17540 and 17552 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 17552

Prime factors of 17552 are 2, 1097. Prime factorization of 17552 in exponential form is:

17552 = 2⁴ × 1097¹

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 17552

List of positive integer factors of 17552 that divides 17540 without a remainder.

1, 2, 4, 8, 16, 1097, 2194, 4388, 8776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17540 and 17552. The biggest common factor number is the GCF number.
So the greatest common factor 17540 and 17552 is 4.

Also check out the Least Common Multiple of 17540 and 17552