What is the Greatest Common Factor of 22224 and 22244?

Greatest common factor (GCF) of 22224 and 22244 is 4.

GCF(22224,22244) = 4

We will now calculate the prime factors of 22224 and 22244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22224 and 22244.

How to find the GCF of 22224 and 22244?

We will first find the prime factorization of 22224 and 22244. After we will calculate the factors of 22224 and 22244 and find the biggest common factor number .

Step-1: Prime Factorization of 22224

Prime factors of 22224 are 2, 3, 463. Prime factorization of 22224 in exponential form is:

22224 = 2⁴ × 3¹ × 463¹

Step-2: Prime Factorization of 22244

Prime factors of 22244 are 2, 67, 83. Prime factorization of 22244 in exponential form is:

22244 = 2² × 67¹ × 83¹

Step-3: Factors of 22224

List of positive integer factors of 22224 that divides 22224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112

Step-4: Factors of 22244

List of positive integer factors of 22244 that divides 22224 without a remainder.

1, 2, 4, 67, 83, 134, 166, 268, 332, 5561, 11122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22224 and 22244. The biggest common factor number is the GCF number.
So the greatest common factor 22224 and 22244 is 4.

Also check out the Least Common Multiple of 22224 and 22244