GCF and LCM Calculator Logo

What is the Greatest Common Factor of 31204 and 31211?

Greatest common factor (GCF) of 31204 and 31211 is 1.

GCF(31204,31211) = 1

We will now calculate the prime factors of 31204 and 31211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31204 and 31211.

GCF Calculator and
and

How to find the GCF of 31204 and 31211?

We will first find the prime factorization of 31204 and 31211. After we will calculate the factors of 31204 and 31211 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 31211

Prime factors of 31211 are 23, 59. Prime factorization of 31211 in exponential form is:

31211 = 232 × 591

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 31211

List of positive integer factors of 31211 that divides 31204 without a remainder.

1, 23, 59, 529, 1357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31204 and 31211. The biggest common factor number is the GCF number.
So the greatest common factor 31204 and 31211 is 1.

Also check out the Least Common Multiple of 31204 and 31211