What is the Greatest Common Factor of 10205 and 10213?

Greatest common factor (GCF) of 10205 and 10213 is 1.

GCF(10205,10213) = 1

We will now calculate the prime factors of 10205 and 10213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10205 and 10213.

How to find the GCF of 10205 and 10213?

We will first find the prime factorization of 10205 and 10213. After we will calculate the factors of 10205 and 10213 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 10213

Prime factors of 10213 are 7, 1459. Prime factorization of 10213 in exponential form is:

10213 = 7¹ × 1459¹

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 10213

List of positive integer factors of 10213 that divides 10205 without a remainder.

1, 7, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10205 and 10213. The biggest common factor number is the GCF number.
So the greatest common factor 10205 and 10213 is 1.

Also check out the Least Common Multiple of 10205 and 10213