What is the Greatest Common Factor of 22416 and 22432?

Greatest common factor (GCF) of 22416 and 22432 is 16.

GCF(22416,22432) = 16

We will now calculate the prime factors of 22416 and 22432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22416 and 22432.

How to find the GCF of 22416 and 22432?

We will first find the prime factorization of 22416 and 22432. After we will calculate the factors of 22416 and 22432 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 22432

Prime factors of 22432 are 2, 701. Prime factorization of 22432 in exponential form is:

22432 = 2⁵ × 701¹

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 22432

List of positive integer factors of 22432 that divides 22416 without a remainder.

1, 2, 4, 8, 16, 32, 701, 1402, 2804, 5608, 11216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22416 and 22432. The biggest common factor number is the GCF number.
So the greatest common factor 22416 and 22432 is 16.

Also check out the Least Common Multiple of 22416 and 22432