What is the Greatest Common Factor of 22620 and 22629?

Greatest common factor (GCF) of 22620 and 22629 is 3.

GCF(22620,22629) = 3

We will now calculate the prime factors of 22620 and 22629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22620 and 22629.

How to find the GCF of 22620 and 22629?

We will first find the prime factorization of 22620 and 22629. After we will calculate the factors of 22620 and 22629 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 22629

Prime factors of 22629 are 3, 19, 397. Prime factorization of 22629 in exponential form is:

22629 = 3¹ × 19¹ × 397¹

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 22629

List of positive integer factors of 22629 that divides 22620 without a remainder.

1, 3, 19, 57, 397, 1191, 7543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22620 and 22629. The biggest common factor number is the GCF number.
So the greatest common factor 22620 and 22629 is 3.

Also check out the Least Common Multiple of 22620 and 22629