What is the Greatest Common Factor of 22582 and 22589?

Greatest common factor (GCF) of 22582 and 22589 is 7.

GCF(22582,22589) = 7

We will now calculate the prime factors of 22582 and 22589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22582 and 22589.

How to find the GCF of 22582 and 22589?

We will first find the prime factorization of 22582 and 22589. After we will calculate the factors of 22582 and 22589 and find the biggest common factor number .

Step-1: Prime Factorization of 22582

Prime factors of 22582 are 2, 7, 1613. Prime factorization of 22582 in exponential form is:

22582 = 2¹ × 7¹ × 1613¹

Step-2: Prime Factorization of 22589

Prime factors of 22589 are 7, 461. Prime factorization of 22589 in exponential form is:

22589 = 7² × 461¹

Step-3: Factors of 22582

List of positive integer factors of 22582 that divides 22582 without a remainder.

1, 2, 7, 14, 1613, 3226, 11291

Step-4: Factors of 22589

List of positive integer factors of 22589 that divides 22582 without a remainder.

1, 7, 49, 461, 3227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22582 and 22589. The biggest common factor number is the GCF number.
So the greatest common factor 22582 and 22589 is 7.

Also check out the Least Common Multiple of 22582 and 22589