What is the Greatest Common Factor of 22604 and 22620?

Greatest common factor (GCF) of 22604 and 22620 is 4.

GCF(22604,22620) = 4

We will now calculate the prime factors of 22604 and 22620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22604 and 22620.

How to find the GCF of 22604 and 22620?

We will first find the prime factorization of 22604 and 22620. After we will calculate the factors of 22604 and 22620 and find the biggest common factor number .

Step-1: Prime Factorization of 22604

Prime factors of 22604 are 2, 5651. Prime factorization of 22604 in exponential form is:

22604 = 2² × 5651¹

Step-2: 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-3: Factors of 22604

List of positive integer factors of 22604 that divides 22604 without a remainder.

1, 2, 4, 5651, 11302

Step-4: Factors of 22620

List of positive integer factors of 22620 that divides 22604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22604 and 22620. The biggest common factor number is the GCF number.
So the greatest common factor 22604 and 22620 is 4.

Also check out the Least Common Multiple of 22604 and 22620