What is the Greatest Common Factor of 22503 and 22507?

Greatest common factor (GCF) of 22503 and 22507 is 1.

GCF(22503,22507) = 1

We will now calculate the prime factors of 22503 and 22507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22503 and 22507.

How to find the GCF of 22503 and 22507?

We will first find the prime factorization of 22503 and 22507. After we will calculate the factors of 22503 and 22507 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 22507

Prime factors of 22507 are 71, 317. Prime factorization of 22507 in exponential form is:

22507 = 71¹ × 317¹

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 22507

List of positive integer factors of 22507 that divides 22503 without a remainder.

1, 71, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22503 and 22507. The biggest common factor number is the GCF number.
So the greatest common factor 22503 and 22507 is 1.

Also check out the Least Common Multiple of 22503 and 22507