What is the Greatest Common Factor of 31203 and 31212?

Greatest common factor (GCF) of 31203 and 31212 is 9.

GCF(31203,31212) = 9

We will now calculate the prime factors of 31203 and 31212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31203 and 31212.

How to find the GCF of 31203 and 31212?

We will first find the prime factorization of 31203 and 31212. After we will calculate the factors of 31203 and 31212 and find the biggest common factor number .

Step-1: Prime Factorization of 31203

Prime factors of 31203 are 3, 3467. Prime factorization of 31203 in exponential form is:

31203 = 3² × 3467¹

Step-2: Prime Factorization of 31212

Prime factors of 31212 are 2, 3, 17. Prime factorization of 31212 in exponential form is:

31212 = 2² × 3³ × 17²

Step-3: Factors of 31203

List of positive integer factors of 31203 that divides 31203 without a remainder.

1, 3, 9, 3467, 10401

Step-4: Factors of 31212

List of positive integer factors of 31212 that divides 31203 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 289, 306, 459, 578, 612, 867, 918, 1156, 1734, 1836, 2601, 3468, 5202, 7803, 10404, 15606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31203 and 31212. The biggest common factor number is the GCF number.
So the greatest common factor 31203 and 31212 is 9.

Also check out the Least Common Multiple of 31203 and 31212