What is the Greatest Common Factor of 36228 and 36236?

Greatest common factor (GCF) of 36228 and 36236 is 4.

GCF(36228,36236) = 4

We will now calculate the prime factors of 36228 and 36236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36228 and 36236.

How to find the GCF of 36228 and 36236?

We will first find the prime factorization of 36228 and 36236. After we will calculate the factors of 36228 and 36236 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36236

Prime factors of 36236 are 2, 9059. Prime factorization of 36236 in exponential form is:

36236 = 2² × 9059¹

Step-3: Factors of 36228

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

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

Step-4: Factors of 36236

List of positive integer factors of 36236 that divides 36228 without a remainder.

1, 2, 4, 9059, 18118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36228 and 36236. The biggest common factor number is the GCF number.
So the greatest common factor 36228 and 36236 is 4.

Also check out the Least Common Multiple of 36228 and 36236