What is the Greatest Common Factor of 21190 and 21198?

Greatest common factor (GCF) of 21190 and 21198 is 2.

GCF(21190,21198) = 2

We will now calculate the prime factors of 21190 and 21198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21190 and 21198.

How to find the GCF of 21190 and 21198?

We will first find the prime factorization of 21190 and 21198. After we will calculate the factors of 21190 and 21198 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 21198

Prime factors of 21198 are 2, 3, 3533. Prime factorization of 21198 in exponential form is:

21198 = 2¹ × 3¹ × 3533¹

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 21198

List of positive integer factors of 21198 that divides 21190 without a remainder.

1, 2, 3, 6, 3533, 7066, 10599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21190 and 21198. The biggest common factor number is the GCF number.
So the greatest common factor 21190 and 21198 is 2.

Also check out the Least Common Multiple of 21190 and 21198