What is the Greatest Common Factor of 17440 and 17455?

Greatest common factor (GCF) of 17440 and 17455 is 5.

GCF(17440,17455) = 5

We will now calculate the prime factors of 17440 and 17455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17440 and 17455.

How to find the GCF of 17440 and 17455?

We will first find the prime factorization of 17440 and 17455. After we will calculate the factors of 17440 and 17455 and find the biggest common factor number .

Step-1: Prime Factorization of 17440

Prime factors of 17440 are 2, 5, 109. Prime factorization of 17440 in exponential form is:

17440 = 2⁵ × 5¹ × 109¹

Step-2: Prime Factorization of 17455

Prime factors of 17455 are 5, 3491. Prime factorization of 17455 in exponential form is:

17455 = 5¹ × 3491¹

Step-3: Factors of 17440

List of positive integer factors of 17440 that divides 17440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 109, 160, 218, 436, 545, 872, 1090, 1744, 2180, 3488, 4360, 8720

Step-4: Factors of 17455

List of positive integer factors of 17455 that divides 17440 without a remainder.

1, 5, 3491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17440 and 17455. The biggest common factor number is the GCF number.
So the greatest common factor 17440 and 17455 is 5.

Also check out the Least Common Multiple of 17440 and 17455