What is the Greatest Common Factor of 22416 and 22436?

Greatest common factor (GCF) of 22416 and 22436 is 4.

GCF(22416,22436) = 4

We will now calculate the prime factors of 22416 and 22436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22416 and 22436.

How to find the GCF of 22416 and 22436?

We will first find the prime factorization of 22416 and 22436. After we will calculate the factors of 22416 and 22436 and find the biggest common factor number .

Step-1: Prime Factorization of 22416

Prime factors of 22416 are 2, 3, 467. Prime factorization of 22416 in exponential form is:

22416 = 2⁴ × 3¹ × 467¹

Step-2: Prime Factorization of 22436

Prime factors of 22436 are 2, 71, 79. Prime factorization of 22436 in exponential form is:

22436 = 2² × 71¹ × 79¹

Step-3: Factors of 22416

List of positive integer factors of 22416 that divides 22416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208

Step-4: Factors of 22436

List of positive integer factors of 22436 that divides 22416 without a remainder.

1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22416 and 22436. The biggest common factor number is the GCF number.
So the greatest common factor 22416 and 22436 is 4.

Also check out the Least Common Multiple of 22416 and 22436