What is the Greatest Common Factor of 21177 and 21189?

Greatest common factor (GCF) of 21177 and 21189 is 3.

GCF(21177,21189) = 3

We will now calculate the prime factors of 21177 and 21189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21177 and 21189.

How to find the GCF of 21177 and 21189?

We will first find the prime factorization of 21177 and 21189. After we will calculate the factors of 21177 and 21189 and find the biggest common factor number .

Step-1: Prime Factorization of 21177

Prime factors of 21177 are 3, 13, 181. Prime factorization of 21177 in exponential form is:

21177 = 3² × 13¹ × 181¹

Step-2: 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-3: Factors of 21177

List of positive integer factors of 21177 that divides 21177 without a remainder.

1, 3, 9, 13, 39, 117, 181, 543, 1629, 2353, 7059

Step-4: Factors of 21189

List of positive integer factors of 21189 that divides 21177 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21177 and 21189. The biggest common factor number is the GCF number.
So the greatest common factor 21177 and 21189 is 3.

Also check out the Least Common Multiple of 21177 and 21189