What is the Greatest Common Factor of 22816 and 22836?

Greatest common factor (GCF) of 22816 and 22836 is 4.

GCF(22816,22836) = 4

We will now calculate the prime factors of 22816 and 22836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22816 and 22836.

How to find the GCF of 22816 and 22836?

We will first find the prime factorization of 22816 and 22836. After we will calculate the factors of 22816 and 22836 and find the biggest common factor number .

Step-1: Prime Factorization of 22816

Prime factors of 22816 are 2, 23, 31. Prime factorization of 22816 in exponential form is:

22816 = 2⁵ × 23¹ × 31¹

Step-2: Prime Factorization of 22836

Prime factors of 22836 are 2, 3, 11, 173. Prime factorization of 22836 in exponential form is:

22836 = 2² × 3¹ × 11¹ × 173¹

Step-3: Factors of 22816

List of positive integer factors of 22816 that divides 22816 without a remainder.

1, 2, 4, 8, 16, 23, 31, 32, 46, 62, 92, 124, 184, 248, 368, 496, 713, 736, 992, 1426, 2852, 5704, 11408

Step-4: Factors of 22836

List of positive integer factors of 22836 that divides 22816 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 173, 346, 519, 692, 1038, 1903, 2076, 3806, 5709, 7612, 11418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22816 and 22836. The biggest common factor number is the GCF number.
So the greatest common factor 22816 and 22836 is 4.

Also check out the Least Common Multiple of 22816 and 22836