What is the Greatest Common Factor of 22475 and 22490?

Greatest common factor (GCF) of 22475 and 22490 is 5.

GCF(22475,22490) = 5

We will now calculate the prime factors of 22475 and 22490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22475 and 22490.

How to find the GCF of 22475 and 22490?

We will first find the prime factorization of 22475 and 22490. After we will calculate the factors of 22475 and 22490 and find the biggest common factor number .

Step-1: Prime Factorization of 22475

Prime factors of 22475 are 5, 29, 31. Prime factorization of 22475 in exponential form is:

22475 = 5² × 29¹ × 31¹

Step-2: 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-3: Factors of 22475

List of positive integer factors of 22475 that divides 22475 without a remainder.

1, 5, 25, 29, 31, 145, 155, 725, 775, 899, 4495

Step-4: Factors of 22490

List of positive integer factors of 22490 that divides 22475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22475 and 22490. The biggest common factor number is the GCF number.
So the greatest common factor 22475 and 22490 is 5.

Also check out the Least Common Multiple of 22475 and 22490