What is the Greatest Common Factor of 52228 and 52236?

Greatest common factor (GCF) of 52228 and 52236 is 4.

GCF(52228,52236) = 4

We will now calculate the prime factors of 52228 and 52236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52228 and 52236.

How to find the GCF of 52228 and 52236?

We will first find the prime factorization of 52228 and 52236. After we will calculate the factors of 52228 and 52236 and find the biggest common factor number .

Step-1: Prime Factorization of 52228

Prime factors of 52228 are 2, 11, 1187. Prime factorization of 52228 in exponential form is:

52228 = 2² × 11¹ × 1187¹

Step-2: Prime Factorization of 52236

Prime factors of 52236 are 2, 3, 1451. Prime factorization of 52236 in exponential form is:

52236 = 2² × 3² × 1451¹

Step-3: Factors of 52228

List of positive integer factors of 52228 that divides 52228 without a remainder.

1, 2, 4, 11, 22, 44, 1187, 2374, 4748, 13057, 26114

Step-4: Factors of 52236

List of positive integer factors of 52236 that divides 52228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1451, 2902, 4353, 5804, 8706, 13059, 17412, 26118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52228 and 52236. The biggest common factor number is the GCF number.
So the greatest common factor 52228 and 52236 is 4.

Also check out the Least Common Multiple of 52228 and 52236