What is the Greatest Common Factor of 27228 and 27232?

Greatest common factor (GCF) of 27228 and 27232 is 4.

GCF(27228,27232) = 4

We will now calculate the prime factors of 27228 and 27232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27228 and 27232.

How to find the GCF of 27228 and 27232?

We will first find the prime factorization of 27228 and 27232. After we will calculate the factors of 27228 and 27232 and find the biggest common factor number .

Step-1: Prime Factorization of 27228

Prime factors of 27228 are 2, 3, 2269. Prime factorization of 27228 in exponential form is:

27228 = 2² × 3¹ × 2269¹

Step-2: Prime Factorization of 27232

Prime factors of 27232 are 2, 23, 37. Prime factorization of 27232 in exponential form is:

27232 = 2⁵ × 23¹ × 37¹

Step-3: Factors of 27228

List of positive integer factors of 27228 that divides 27228 without a remainder.

1, 2, 3, 4, 6, 12, 2269, 4538, 6807, 9076, 13614

Step-4: Factors of 27232

List of positive integer factors of 27232 that divides 27228 without a remainder.

1, 2, 4, 8, 16, 23, 32, 37, 46, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1702, 3404, 6808, 13616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27228 and 27232. The biggest common factor number is the GCF number.
So the greatest common factor 27228 and 27232 is 4.

Also check out the Least Common Multiple of 27228 and 27232