What is the Greatest Common Factor of 22484 and 22491?

Greatest common factor (GCF) of 22484 and 22491 is 7.

GCF(22484,22491) = 7

We will now calculate the prime factors of 22484 and 22491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22484 and 22491.

How to find the GCF of 22484 and 22491?

We will first find the prime factorization of 22484 and 22491. After we will calculate the factors of 22484 and 22491 and find the biggest common factor number .

Step-1: Prime Factorization of 22484

Prime factors of 22484 are 2, 7, 11, 73. Prime factorization of 22484 in exponential form is:

22484 = 2² × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 22491

Prime factors of 22491 are 3, 7, 17. Prime factorization of 22491 in exponential form is:

22491 = 3³ × 7² × 17¹

Step-3: Factors of 22484

List of positive integer factors of 22484 that divides 22484 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 73, 77, 146, 154, 292, 308, 511, 803, 1022, 1606, 2044, 3212, 5621, 11242

Step-4: Factors of 22491

List of positive integer factors of 22491 that divides 22484 without a remainder.

1, 3, 7, 9, 17, 21, 27, 49, 51, 63, 119, 147, 153, 189, 357, 441, 459, 833, 1071, 1323, 2499, 3213, 7497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22484 and 22491. The biggest common factor number is the GCF number.
So the greatest common factor 22484 and 22491 is 7.

Also check out the Least Common Multiple of 22484 and 22491