What is the Greatest Common Factor of 23228 and 23232?

Greatest common factor (GCF) of 23228 and 23232 is 4.

GCF(23228,23232) = 4

We will now calculate the prime factors of 23228 and 23232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23228 and 23232.

How to find the GCF of 23228 and 23232?

We will first find the prime factorization of 23228 and 23232. After we will calculate the factors of 23228 and 23232 and find the biggest common factor number .

Step-1: Prime Factorization of 23228

Prime factors of 23228 are 2, 5807. Prime factorization of 23228 in exponential form is:

23228 = 2² × 5807¹

Step-2: Prime Factorization of 23232

Prime factors of 23232 are 2, 3, 11. Prime factorization of 23232 in exponential form is:

23232 = 2⁶ × 3¹ × 11²

Step-3: Factors of 23228

List of positive integer factors of 23228 that divides 23228 without a remainder.

1, 2, 4, 5807, 11614

Step-4: Factors of 23232

List of positive integer factors of 23232 that divides 23228 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 132, 176, 192, 242, 264, 352, 363, 484, 528, 704, 726, 968, 1056, 1452, 1936, 2112, 2904, 3872, 5808, 7744, 11616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23228 and 23232. The biggest common factor number is the GCF number.
So the greatest common factor 23228 and 23232 is 4.

Also check out the Least Common Multiple of 23228 and 23232