What is the Greatest Common Factor of 10213 and 10226?

Greatest common factor (GCF) of 10213 and 10226 is 1.

GCF(10213,10226) = 1

We will now calculate the prime factors of 10213 and 10226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10213 and 10226.

How to find the GCF of 10213 and 10226?

We will first find the prime factorization of 10213 and 10226. After we will calculate the factors of 10213 and 10226 and find the biggest common factor number .

Step-1: Prime Factorization of 10213

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

10213 = 7¹ × 1459¹

Step-2: Prime Factorization of 10226

Prime factors of 10226 are 2, 5113. Prime factorization of 10226 in exponential form is:

10226 = 2¹ × 5113¹

Step-3: Factors of 10213

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

1, 7, 1459

Step-4: Factors of 10226

List of positive integer factors of 10226 that divides 10213 without a remainder.

1, 2, 5113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10213 and 10226. The biggest common factor number is the GCF number.
So the greatest common factor 10213 and 10226 is 1.

Also check out the Least Common Multiple of 10213 and 10226