What is the Greatest Common Factor of 21189 and 21207?

Greatest common factor (GCF) of 21189 and 21207 is 3.

GCF(21189,21207) = 3

We will now calculate the prime factors of 21189 and 21207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21189 and 21207.

How to find the GCF of 21189 and 21207?

We will first find the prime factorization of 21189 and 21207. After we will calculate the factors of 21189 and 21207 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 21207

Prime factors of 21207 are 3, 7069. Prime factorization of 21207 in exponential form is:

21207 = 3¹ × 7069¹

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 21207

List of positive integer factors of 21207 that divides 21189 without a remainder.

1, 3, 7069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21189 and 21207. The biggest common factor number is the GCF number.
So the greatest common factor 21189 and 21207 is 3.

Also check out the Least Common Multiple of 21189 and 21207