What is the Greatest Common Factor of 52228 and 52239?

Greatest common factor (GCF) of 52228 and 52239 is 11.

GCF(52228,52239) = 11

We will now calculate the prime factors of 52228 and 52239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52228 and 52239.

How to find the GCF of 52228 and 52239?

We will first find the prime factorization of 52228 and 52239. After we will calculate the factors of 52228 and 52239 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 52239

Prime factors of 52239 are 3, 11, 1583. Prime factorization of 52239 in exponential form is:

52239 = 3¹ × 11¹ × 1583¹

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 52239

List of positive integer factors of 52239 that divides 52228 without a remainder.

1, 3, 11, 33, 1583, 4749, 17413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52228 and 52239. The biggest common factor number is the GCF number.
So the greatest common factor 52228 and 52239 is 11.

Also check out the Least Common Multiple of 52228 and 52239