What is the Greatest Common Factor of 22475 and 22494?

Greatest common factor (GCF) of 22475 and 22494 is 1.

GCF(22475,22494) = 1

We will now calculate the prime factors of 22475 and 22494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22475 and 22494.

How to find the GCF of 22475 and 22494?

We will first find the prime factorization of 22475 and 22494. After we will calculate the factors of 22475 and 22494 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 22494

Prime factors of 22494 are 2, 3, 23, 163. Prime factorization of 22494 in exponential form is:

22494 = 2¹ × 3¹ × 23¹ × 163¹

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 22494

List of positive integer factors of 22494 that divides 22475 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 163, 326, 489, 978, 3749, 7498, 11247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22475 and 22494. The biggest common factor number is the GCF number.
So the greatest common factor 22475 and 22494 is 1.

Also check out the Least Common Multiple of 22475 and 22494