What is the Greatest Common Factor of 22491 and 22505?

Greatest common factor (GCF) of 22491 and 22505 is 7.

GCF(22491,22505) = 7

We will now calculate the prime factors of 22491 and 22505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22491 and 22505.

How to find the GCF of 22491 and 22505?

We will first find the prime factorization of 22491 and 22505. After we will calculate the factors of 22491 and 22505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22505

Prime factors of 22505 are 5, 7, 643. Prime factorization of 22505 in exponential form is:

22505 = 5¹ × 7¹ × 643¹

Step-3: Factors of 22491

List of positive integer factors of 22491 that divides 22491 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

Step-4: Factors of 22505

List of positive integer factors of 22505 that divides 22491 without a remainder.

1, 5, 7, 35, 643, 3215, 4501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22491 and 22505. The biggest common factor number is the GCF number.
So the greatest common factor 22491 and 22505 is 7.

Also check out the Least Common Multiple of 22491 and 22505