What is the Greatest Common Factor of 17582 and 17596?

Greatest common factor (GCF) of 17582 and 17596 is 2.

GCF(17582,17596) = 2

We will now calculate the prime factors of 17582 and 17596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17582 and 17596.

How to find the GCF of 17582 and 17596?

We will first find the prime factorization of 17582 and 17596. After we will calculate the factors of 17582 and 17596 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 17596

Prime factors of 17596 are 2, 53, 83. Prime factorization of 17596 in exponential form is:

17596 = 2² × 53¹ × 83¹

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 17596

List of positive integer factors of 17596 that divides 17582 without a remainder.

1, 2, 4, 53, 83, 106, 166, 212, 332, 4399, 8798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17582 and 17596. The biggest common factor number is the GCF number.
So the greatest common factor 17582 and 17596 is 2.

Also check out the Least Common Multiple of 17582 and 17596