What is the Greatest Common Factor of 22503 and 22516?

Greatest common factor (GCF) of 22503 and 22516 is 13.

GCF(22503,22516) = 13

We will now calculate the prime factors of 22503 and 22516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22503 and 22516.

How to find the GCF of 22503 and 22516?

We will first find the prime factorization of 22503 and 22516. After we will calculate the factors of 22503 and 22516 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 22516

Prime factors of 22516 are 2, 13, 433. Prime factorization of 22516 in exponential form is:

22516 = 2² × 13¹ × 433¹

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 22516

List of positive integer factors of 22516 that divides 22503 without a remainder.

1, 2, 4, 13, 26, 52, 433, 866, 1732, 5629, 11258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22503 and 22516. The biggest common factor number is the GCF number.
So the greatest common factor 22503 and 22516 is 13.

Also check out the Least Common Multiple of 22503 and 22516