What is the Greatest Common Factor of 31213 and 31226?

Greatest common factor (GCF) of 31213 and 31226 is 13.

GCF(31213,31226) = 13

We will now calculate the prime factors of 31213 and 31226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31213 and 31226.

How to find the GCF of 31213 and 31226?

We will first find the prime factorization of 31213 and 31226. After we will calculate the factors of 31213 and 31226 and find the biggest common factor number .

Step-1: Prime Factorization of 31213

Prime factors of 31213 are 7, 13. Prime factorization of 31213 in exponential form is:

31213 = 7⁴ × 13¹

Step-2: Prime Factorization of 31226

Prime factors of 31226 are 2, 13, 1201. Prime factorization of 31226 in exponential form is:

31226 = 2¹ × 13¹ × 1201¹

Step-3: Factors of 31213

List of positive integer factors of 31213 that divides 31213 without a remainder.

1, 7, 13, 49, 91, 343, 637, 2401, 4459

Step-4: Factors of 31226

List of positive integer factors of 31226 that divides 31213 without a remainder.

1, 2, 13, 26, 1201, 2402, 15613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31213 and 31226. The biggest common factor number is the GCF number.
So the greatest common factor 31213 and 31226 is 13.

Also check out the Least Common Multiple of 31213 and 31226