What is the Greatest Common Factor of 36224 and 36228?

Greatest common factor (GCF) of 36224 and 36228 is 4.

GCF(36224,36228) = 4

We will now calculate the prime factors of 36224 and 36228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36224 and 36228.

How to find the GCF of 36224 and 36228?

We will first find the prime factorization of 36224 and 36228. After we will calculate the factors of 36224 and 36228 and find the biggest common factor number .

Step-1: Prime Factorization of 36224

Prime factors of 36224 are 2, 283. Prime factorization of 36224 in exponential form is:

36224 = 2⁷ × 283¹

Step-2: Prime Factorization of 36228

Prime factors of 36228 are 2, 3, 3019. Prime factorization of 36228 in exponential form is:

36228 = 2² × 3¹ × 3019¹

Step-3: Factors of 36224

List of positive integer factors of 36224 that divides 36224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 283, 566, 1132, 2264, 4528, 9056, 18112

Step-4: Factors of 36228

List of positive integer factors of 36228 that divides 36224 without a remainder.

1, 2, 3, 4, 6, 12, 3019, 6038, 9057, 12076, 18114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36224 and 36228. The biggest common factor number is the GCF number.
So the greatest common factor 36224 and 36228 is 4.

Also check out the Least Common Multiple of 36224 and 36228