What is the Greatest Common Factor of 22582 and 22596?

Greatest common factor (GCF) of 22582 and 22596 is 14.

GCF(22582,22596) = 14

We will now calculate the prime factors of 22582 and 22596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22582 and 22596.

How to find the GCF of 22582 and 22596?

We will first find the prime factorization of 22582 and 22596. After we will calculate the factors of 22582 and 22596 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 22596

Prime factors of 22596 are 2, 3, 7, 269. Prime factorization of 22596 in exponential form is:

22596 = 2² × 3¹ × 7¹ × 269¹

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 22596

List of positive integer factors of 22596 that divides 22582 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 269, 538, 807, 1076, 1614, 1883, 3228, 3766, 5649, 7532, 11298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22582 and 22596. The biggest common factor number is the GCF number.
So the greatest common factor 22582 and 22596 is 14.

Also check out the Least Common Multiple of 22582 and 22596