What is the Greatest Common Factor of 22490 and 22508?

Greatest common factor (GCF) of 22490 and 22508 is 2.

GCF(22490,22508) = 2

We will now calculate the prime factors of 22490 and 22508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22490 and 22508.

How to find the GCF of 22490 and 22508?

We will first find the prime factorization of 22490 and 22508. After we will calculate the factors of 22490 and 22508 and find the biggest common factor number .

Step-1: Prime Factorization of 22490

Prime factors of 22490 are 2, 5, 13, 173. Prime factorization of 22490 in exponential form is:

22490 = 2¹ × 5¹ × 13¹ × 173¹

Step-2: Prime Factorization of 22508

Prime factors of 22508 are 2, 17, 331. Prime factorization of 22508 in exponential form is:

22508 = 2² × 17¹ × 331¹

Step-3: Factors of 22490

List of positive integer factors of 22490 that divides 22490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 173, 346, 865, 1730, 2249, 4498, 11245

Step-4: Factors of 22508

List of positive integer factors of 22508 that divides 22490 without a remainder.

1, 2, 4, 17, 34, 68, 331, 662, 1324, 5627, 11254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22490 and 22508. The biggest common factor number is the GCF number.
So the greatest common factor 22490 and 22508 is 2.

Also check out the Least Common Multiple of 22490 and 22508