What is the Greatest Common Factor of 22494 and 22501?

Greatest common factor (GCF) of 22494 and 22501 is 1.

GCF(22494,22501) = 1

We will now calculate the prime factors of 22494 and 22501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22494 and 22501.

How to find the GCF of 22494 and 22501?

We will first find the prime factorization of 22494 and 22501. After we will calculate the factors of 22494 and 22501 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22501

Prime factors of 22501 are 22501. Prime factorization of 22501 in exponential form is:

22501 = 22501¹

Step-3: Factors of 22494

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

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

Step-4: Factors of 22501

List of positive integer factors of 22501 that divides 22494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22494 and 22501. The biggest common factor number is the GCF number.
So the greatest common factor 22494 and 22501 is 1.

Also check out the Least Common Multiple of 22494 and 22501