What is the Greatest Common Factor of 10218 and 10231?

Greatest common factor (GCF) of 10218 and 10231 is 13.

GCF(10218,10231) = 13

We will now calculate the prime factors of 10218 and 10231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10218 and 10231.

How to find the GCF of 10218 and 10231?

We will first find the prime factorization of 10218 and 10231. After we will calculate the factors of 10218 and 10231 and find the biggest common factor number .

Step-1: Prime Factorization of 10218

Prime factors of 10218 are 2, 3, 13, 131. Prime factorization of 10218 in exponential form is:

10218 = 2¹ × 3¹ × 13¹ × 131¹

Step-2: Prime Factorization of 10231

Prime factors of 10231 are 13, 787. Prime factorization of 10231 in exponential form is:

10231 = 13¹ × 787¹

Step-3: Factors of 10218

List of positive integer factors of 10218 that divides 10218 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109

Step-4: Factors of 10231

List of positive integer factors of 10231 that divides 10218 without a remainder.

1, 13, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10218 and 10231. The biggest common factor number is the GCF number.
So the greatest common factor 10218 and 10231 is 13.

Also check out the Least Common Multiple of 10218 and 10231