What is the Greatest Common Factor of 22620 and 22624?

Greatest common factor (GCF) of 22620 and 22624 is 4.

GCF(22620,22624) = 4

We will now calculate the prime factors of 22620 and 22624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22620 and 22624.

How to find the GCF of 22620 and 22624?

We will first find the prime factorization of 22620 and 22624. After we will calculate the factors of 22620 and 22624 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 22624

Prime factors of 22624 are 2, 7, 101. Prime factorization of 22624 in exponential form is:

22624 = 2⁵ × 7¹ × 101¹

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 22624

List of positive integer factors of 22624 that divides 22620 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 101, 112, 202, 224, 404, 707, 808, 1414, 1616, 2828, 3232, 5656, 11312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22620 and 22624. The biggest common factor number is the GCF number.
So the greatest common factor 22620 and 22624 is 4.

Also check out the Least Common Multiple of 22620 and 22624