What is the Greatest Common Factor of 22620 and 22633?

Greatest common factor (GCF) of 22620 and 22633 is 13.

GCF(22620,22633) = 13

We will now calculate the prime factors of 22620 and 22633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22620 and 22633.

How to find the GCF of 22620 and 22633?

We will first find the prime factorization of 22620 and 22633. After we will calculate the factors of 22620 and 22633 and find the biggest common factor number .

Step-1: Prime Factorization of 22620

Prime factors of 22620 are 2, 3, 5, 13, 29. Prime factorization of 22620 in exponential form is:

22620 = 2² × 3¹ × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 22633

Prime factors of 22633 are 13, 1741. Prime factorization of 22633 in exponential form is:

22633 = 13¹ × 1741¹

Step-3: Factors of 22620

List of positive integer factors of 22620 that divides 22620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 29, 30, 39, 52, 58, 60, 65, 78, 87, 116, 130, 145, 156, 174, 195, 260, 290, 348, 377, 390, 435, 580, 754, 780, 870, 1131, 1508, 1740, 1885, 2262, 3770, 4524, 5655, 7540, 11310

Step-4: Factors of 22633

List of positive integer factors of 22633 that divides 22620 without a remainder.

1, 13, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22620 and 22633. The biggest common factor number is the GCF number.
So the greatest common factor 22620 and 22633 is 13.

Also check out the Least Common Multiple of 22620 and 22633