What is the Greatest Common Factor of 22516 and 22529?

Greatest common factor (GCF) of 22516 and 22529 is 13.

GCF(22516,22529) = 13

We will now calculate the prime factors of 22516 and 22529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22516 and 22529.

How to find the GCF of 22516 and 22529?

We will first find the prime factorization of 22516 and 22529. After we will calculate the factors of 22516 and 22529 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22529

Prime factors of 22529 are 13, 1733. Prime factorization of 22529 in exponential form is:

22529 = 13¹ × 1733¹

Step-3: Factors of 22516

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

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

Step-4: Factors of 22529

List of positive integer factors of 22529 that divides 22516 without a remainder.

1, 13, 1733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22516 and 22529. The biggest common factor number is the GCF number.
So the greatest common factor 22516 and 22529 is 13.

Also check out the Least Common Multiple of 22516 and 22529