What is the Greatest Common Factor of 21141 and 21158?

Greatest common factor (GCF) of 21141 and 21158 is 1.

GCF(21141,21158) = 1

We will now calculate the prime factors of 21141 and 21158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21141 and 21158.

How to find the GCF of 21141 and 21158?

We will first find the prime factorization of 21141 and 21158. After we will calculate the factors of 21141 and 21158 and find the biggest common factor number .

Step-1: Prime Factorization of 21141

Prime factors of 21141 are 3, 29. Prime factorization of 21141 in exponential form is:

21141 = 3⁶ × 29¹

Step-2: Prime Factorization of 21158

Prime factors of 21158 are 2, 71, 149. Prime factorization of 21158 in exponential form is:

21158 = 2¹ × 71¹ × 149¹

Step-3: Factors of 21141

List of positive integer factors of 21141 that divides 21141 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 729, 783, 2349, 7047

Step-4: Factors of 21158

List of positive integer factors of 21158 that divides 21141 without a remainder.

1, 2, 71, 142, 149, 298, 10579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21141 and 21158. The biggest common factor number is the GCF number.
So the greatest common factor 21141 and 21158 is 1.

Also check out the Least Common Multiple of 21141 and 21158