What is the Greatest Common Factor of 10205 and 10218?

Greatest common factor (GCF) of 10205 and 10218 is 13.

GCF(10205,10218) = 13

We will now calculate the prime factors of 10205 and 10218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10205 and 10218.

How to find the GCF of 10205 and 10218?

We will first find the prime factorization of 10205 and 10218. After we will calculate the factors of 10205 and 10218 and find the biggest common factor number .

Step-1: Prime Factorization of 10205

Prime factors of 10205 are 5, 13, 157. Prime factorization of 10205 in exponential form is:

10205 = 5¹ × 13¹ × 157¹

Step-2: 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-3: Factors of 10205

List of positive integer factors of 10205 that divides 10205 without a remainder.

1, 5, 13, 65, 157, 785, 2041

Step-4: Factors of 10218

List of positive integer factors of 10218 that divides 10205 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10205 and 10218. The biggest common factor number is the GCF number.
So the greatest common factor 10205 and 10218 is 13.

Also check out the Least Common Multiple of 10205 and 10218