What is the Greatest Common Factor of 31204 and 31222?

Greatest common factor (GCF) of 31204 and 31222 is 2.

GCF(31204,31222) = 2

We will now calculate the prime factors of 31204 and 31222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31204 and 31222.

How to find the GCF of 31204 and 31222?

We will first find the prime factorization of 31204 and 31222. After we will calculate the factors of 31204 and 31222 and find the biggest common factor number .

Step-1: Prime Factorization of 31204

Prime factors of 31204 are 2, 29, 269. Prime factorization of 31204 in exponential form is:

31204 = 2² × 29¹ × 269¹

Step-2: Prime Factorization of 31222

Prime factors of 31222 are 2, 67, 233. Prime factorization of 31222 in exponential form is:

31222 = 2¹ × 67¹ × 233¹

Step-3: Factors of 31204

List of positive integer factors of 31204 that divides 31204 without a remainder.

1, 2, 4, 29, 58, 116, 269, 538, 1076, 7801, 15602

Step-4: Factors of 31222

List of positive integer factors of 31222 that divides 31204 without a remainder.

1, 2, 67, 134, 233, 466, 15611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31204 and 31222. The biggest common factor number is the GCF number.
So the greatest common factor 31204 and 31222 is 2.

Also check out the Least Common Multiple of 31204 and 31222