What is the Greatest Common Factor of 52222 and 52232?

Greatest common factor (GCF) of 52222 and 52232 is 2.

GCF(52222,52232) = 2

We will now calculate the prime factors of 52222 and 52232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52222 and 52232.

How to find the GCF of 52222 and 52232?

We will first find the prime factorization of 52222 and 52232. After we will calculate the factors of 52222 and 52232 and find the biggest common factor number .

Step-1: Prime Factorization of 52222

Prime factors of 52222 are 2, 26111. Prime factorization of 52222 in exponential form is:

52222 = 2¹ × 26111¹

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 52222

List of positive integer factors of 52222 that divides 52222 without a remainder.

1, 2, 26111

Step-4: Factors of 52232

List of positive integer factors of 52232 that divides 52222 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52222 and 52232. The biggest common factor number is the GCF number.
So the greatest common factor 52222 and 52232 is 2.

Also check out the Least Common Multiple of 52222 and 52232