What is the Greatest Common Factor of 34222 and 34236?

Greatest common factor (GCF) of 34222 and 34236 is 2.

GCF(34222,34236) = 2

We will now calculate the prime factors of 34222 and 34236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34222 and 34236.

How to find the GCF of 34222 and 34236?

We will first find the prime factorization of 34222 and 34236. After we will calculate the factors of 34222 and 34236 and find the biggest common factor number .

Step-1: Prime Factorization of 34222

Prime factors of 34222 are 2, 71, 241. Prime factorization of 34222 in exponential form is:

34222 = 2¹ × 71¹ × 241¹

Step-2: Prime Factorization of 34236

Prime factors of 34236 are 2, 3, 317. Prime factorization of 34236 in exponential form is:

34236 = 2² × 3³ × 317¹

Step-3: Factors of 34222

List of positive integer factors of 34222 that divides 34222 without a remainder.

1, 2, 71, 142, 241, 482, 17111

Step-4: Factors of 34236

List of positive integer factors of 34236 that divides 34222 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 8559, 11412, 17118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34222 and 34236. The biggest common factor number is the GCF number.
So the greatest common factor 34222 and 34236 is 2.

Also check out the Least Common Multiple of 34222 and 34236