What is the Greatest Common Factor of 31207 and 31218?

Greatest common factor (GCF) of 31207 and 31218 is 11.

GCF(31207,31218) = 11

We will now calculate the prime factors of 31207 and 31218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31207 and 31218.

How to find the GCF of 31207 and 31218?

We will first find the prime factorization of 31207 and 31218. After we will calculate the factors of 31207 and 31218 and find the biggest common factor number .

Step-1: Prime Factorization of 31207

Prime factors of 31207 are 11, 2837. Prime factorization of 31207 in exponential form is:

31207 = 11¹ × 2837¹

Step-2: Prime Factorization of 31218

Prime factors of 31218 are 2, 3, 11, 43. Prime factorization of 31218 in exponential form is:

31218 = 2¹ × 3¹ × 11² × 43¹

Step-3: Factors of 31207

List of positive integer factors of 31207 that divides 31207 without a remainder.

1, 11, 2837

Step-4: Factors of 31218

List of positive integer factors of 31218 that divides 31207 without a remainder.

1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 121, 129, 242, 258, 363, 473, 726, 946, 1419, 2838, 5203, 10406, 15609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31207 and 31218. The biggest common factor number is the GCF number.
So the greatest common factor 31207 and 31218 is 11.

Also check out the Least Common Multiple of 31207 and 31218