What is the Greatest Common Factor of 17582 and 17588?

Greatest common factor (GCF) of 17582 and 17588 is 2.

GCF(17582,17588) = 2

We will now calculate the prime factors of 17582 and 17588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17582 and 17588.

How to find the GCF of 17582 and 17588?

We will first find the prime factorization of 17582 and 17588. After we will calculate the factors of 17582 and 17588 and find the biggest common factor number .

Step-1: Prime Factorization of 17582

Prime factors of 17582 are 2, 59, 149. Prime factorization of 17582 in exponential form is:

17582 = 2¹ × 59¹ × 149¹

Step-2: Prime Factorization of 17588

Prime factors of 17588 are 2, 4397. Prime factorization of 17588 in exponential form is:

17588 = 2² × 4397¹

Step-3: Factors of 17582

List of positive integer factors of 17582 that divides 17582 without a remainder.

1, 2, 59, 118, 149, 298, 8791

Step-4: Factors of 17588

List of positive integer factors of 17588 that divides 17582 without a remainder.

1, 2, 4, 4397, 8794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17582 and 17588. The biggest common factor number is the GCF number.
So the greatest common factor 17582 and 17588 is 2.

Also check out the Least Common Multiple of 17582 and 17588