What is the Greatest Common Factor of 31204 and 31210?

Greatest common factor (GCF) of 31204 and 31210 is 2.

GCF(31204,31210) = 2

We will now calculate the prime factors of 31204 and 31210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31204 and 31210.

How to find the GCF of 31204 and 31210?

We will first find the prime factorization of 31204 and 31210. After we will calculate the factors of 31204 and 31210 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 31210

Prime factors of 31210 are 2, 5, 3121. Prime factorization of 31210 in exponential form is:

31210 = 2¹ × 5¹ × 3121¹

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 31210

List of positive integer factors of 31210 that divides 31204 without a remainder.

1, 2, 5, 10, 3121, 6242, 15605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31204 and 31210. The biggest common factor number is the GCF number.
So the greatest common factor 31204 and 31210 is 2.

Also check out the Least Common Multiple of 31204 and 31210