What is the Greatest Common Factor of 52228 and 52232?

Greatest common factor (GCF) of 52228 and 52232 is 4.

GCF(52228,52232) = 4

We will now calculate the prime factors of 52228 and 52232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52228 and 52232.

How to find the GCF of 52228 and 52232?

We will first find the prime factorization of 52228 and 52232. After we will calculate the factors of 52228 and 52232 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 52232

Prime factors of 52232 are 2, 6529. Prime factorization of 52232 in exponential form is:

52232 = 2³ × 6529¹

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 52232

List of positive integer factors of 52232 that divides 52228 without a remainder.

1, 2, 4, 8, 6529, 13058, 26116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52228 and 52232. The biggest common factor number is the GCF number.
So the greatest common factor 52228 and 52232 is 4.

Also check out the Least Common Multiple of 52228 and 52232