What is the Greatest Common Factor of 22802 and 22815?

Greatest common factor (GCF) of 22802 and 22815 is 13.

GCF(22802,22815) = 13

We will now calculate the prime factors of 22802 and 22815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22802 and 22815.

How to find the GCF of 22802 and 22815?

We will first find the prime factorization of 22802 and 22815. After we will calculate the factors of 22802 and 22815 and find the biggest common factor number .

Step-1: Prime Factorization of 22802

Prime factors of 22802 are 2, 13, 877. Prime factorization of 22802 in exponential form is:

22802 = 2¹ × 13¹ × 877¹

Step-2: Prime Factorization of 22815

Prime factors of 22815 are 3, 5, 13. Prime factorization of 22815 in exponential form is:

22815 = 3³ × 5¹ × 13²

Step-3: Factors of 22802

List of positive integer factors of 22802 that divides 22802 without a remainder.

1, 2, 13, 26, 877, 1754, 11401

Step-4: Factors of 22815

List of positive integer factors of 22815 that divides 22802 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 169, 195, 351, 507, 585, 845, 1521, 1755, 2535, 4563, 7605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22802 and 22815. The biggest common factor number is the GCF number.
So the greatest common factor 22802 and 22815 is 13.

Also check out the Least Common Multiple of 22802 and 22815