What is the Greatest Common Factor of 10203 and 10222?

Greatest common factor (GCF) of 10203 and 10222 is 19.

GCF(10203,10222) = 19

We will now calculate the prime factors of 10203 and 10222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10203 and 10222.

How to find the GCF of 10203 and 10222?

We will first find the prime factorization of 10203 and 10222. After we will calculate the factors of 10203 and 10222 and find the biggest common factor number .

Step-1: Prime Factorization of 10203

Prime factors of 10203 are 3, 19, 179. Prime factorization of 10203 in exponential form is:

10203 = 3¹ × 19¹ × 179¹

Step-2: Prime Factorization of 10222

Prime factors of 10222 are 2, 19, 269. Prime factorization of 10222 in exponential form is:

10222 = 2¹ × 19¹ × 269¹

Step-3: Factors of 10203

List of positive integer factors of 10203 that divides 10203 without a remainder.

1, 3, 19, 57, 179, 537, 3401

Step-4: Factors of 10222

List of positive integer factors of 10222 that divides 10203 without a remainder.

1, 2, 19, 38, 269, 538, 5111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10203 and 10222. The biggest common factor number is the GCF number.
So the greatest common factor 10203 and 10222 is 19.

Also check out the Least Common Multiple of 10203 and 10222