What is the Greatest Common Factor of 22503 and 22522?

Greatest common factor (GCF) of 22503 and 22522 is 1.

GCF(22503,22522) = 1

We will now calculate the prime factors of 22503 and 22522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22503 and 22522.

How to find the GCF of 22503 and 22522?

We will first find the prime factorization of 22503 and 22522. After we will calculate the factors of 22503 and 22522 and find the biggest common factor number .

Step-1: Prime Factorization of 22503

Prime factors of 22503 are 3, 13, 577. Prime factorization of 22503 in exponential form is:

22503 = 3¹ × 13¹ × 577¹

Step-2: Prime Factorization of 22522

Prime factors of 22522 are 2, 11261. Prime factorization of 22522 in exponential form is:

22522 = 2¹ × 11261¹

Step-3: Factors of 22503

List of positive integer factors of 22503 that divides 22503 without a remainder.

1, 3, 13, 39, 577, 1731, 7501

Step-4: Factors of 22522

List of positive integer factors of 22522 that divides 22503 without a remainder.

1, 2, 11261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22503 and 22522. The biggest common factor number is the GCF number.
So the greatest common factor 22503 and 22522 is 1.

Also check out the Least Common Multiple of 22503 and 22522