What is the Greatest Common Factor of 21182 and 21199?

Greatest common factor (GCF) of 21182 and 21199 is 17.

GCF(21182,21199) = 17

We will now calculate the prime factors of 21182 and 21199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21182 and 21199.

How to find the GCF of 21182 and 21199?

We will first find the prime factorization of 21182 and 21199. After we will calculate the factors of 21182 and 21199 and find the biggest common factor number .

Step-1: Prime Factorization of 21182

Prime factors of 21182 are 2, 7, 17, 89. Prime factorization of 21182 in exponential form is:

21182 = 2¹ × 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 21199

Prime factors of 21199 are 17, 29, 43. Prime factorization of 21199 in exponential form is:

21199 = 17¹ × 29¹ × 43¹

Step-3: Factors of 21182

List of positive integer factors of 21182 that divides 21182 without a remainder.

1, 2, 7, 14, 17, 34, 89, 119, 178, 238, 623, 1246, 1513, 3026, 10591

Step-4: Factors of 21199

List of positive integer factors of 21199 that divides 21182 without a remainder.

1, 17, 29, 43, 493, 731, 1247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21182 and 21199. The biggest common factor number is the GCF number.
So the greatest common factor 21182 and 21199 is 17.

Also check out the Least Common Multiple of 21182 and 21199