What is the Greatest Common Factor of 21189 and 21198?

Greatest common factor (GCF) of 21189 and 21198 is 3.

GCF(21189,21198) = 3

We will now calculate the prime factors of 21189 and 21198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21189 and 21198.

How to find the GCF of 21189 and 21198?

We will first find the prime factorization of 21189 and 21198. After we will calculate the factors of 21189 and 21198 and find the biggest common factor number .

Step-1: Prime Factorization of 21189

Prime factors of 21189 are 3, 7, 1009. Prime factorization of 21189 in exponential form is:

21189 = 3¹ × 7¹ × 1009¹

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 21189

List of positive integer factors of 21189 that divides 21189 without a remainder.

1, 3, 7, 21, 1009, 3027, 7063

Step-4: Factors of 21198

List of positive integer factors of 21198 that divides 21189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21189 and 21198. The biggest common factor number is the GCF number.
So the greatest common factor 21189 and 21198 is 3.

Also check out the Least Common Multiple of 21189 and 21198