What is the Greatest Common Factor of 21190 and 21203?

Greatest common factor (GCF) of 21190 and 21203 is 13.

GCF(21190,21203) = 13

We will now calculate the prime factors of 21190 and 21203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21190 and 21203.

How to find the GCF of 21190 and 21203?

We will first find the prime factorization of 21190 and 21203. After we will calculate the factors of 21190 and 21203 and find the biggest common factor number .

Step-1: Prime Factorization of 21190

Prime factors of 21190 are 2, 5, 13, 163. Prime factorization of 21190 in exponential form is:

21190 = 2¹ × 5¹ × 13¹ × 163¹

Step-2: Prime Factorization of 21203

Prime factors of 21203 are 7, 13, 233. Prime factorization of 21203 in exponential form is:

21203 = 7¹ × 13¹ × 233¹

Step-3: Factors of 21190

List of positive integer factors of 21190 that divides 21190 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 163, 326, 815, 1630, 2119, 4238, 10595

Step-4: Factors of 21203

List of positive integer factors of 21203 that divides 21190 without a remainder.

1, 7, 13, 91, 233, 1631, 3029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21190 and 21203. The biggest common factor number is the GCF number.
So the greatest common factor 21190 and 21203 is 13.

Also check out the Least Common Multiple of 21190 and 21203