What is the Greatest Common Factor of 52228 and 52242?

Greatest common factor (GCF) of 52228 and 52242 is 2.

GCF(52228,52242) = 2

We will now calculate the prime factors of 52228 and 52242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52228 and 52242.

How to find the GCF of 52228 and 52242?

We will first find the prime factorization of 52228 and 52242. After we will calculate the factors of 52228 and 52242 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 52242

Prime factors of 52242 are 2, 3, 8707. Prime factorization of 52242 in exponential form is:

52242 = 2¹ × 3¹ × 8707¹

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 52242

List of positive integer factors of 52242 that divides 52228 without a remainder.

1, 2, 3, 6, 8707, 17414, 26121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52228 and 52242. The biggest common factor number is the GCF number.
So the greatest common factor 52228 and 52242 is 2.

Also check out the Least Common Multiple of 52228 and 52242