What is the Greatest Common Factor of 21158 and 21167?

Greatest common factor (GCF) of 21158 and 21167 is 1.

GCF(21158,21167) = 1

We will now calculate the prime factors of 21158 and 21167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21158 and 21167.

How to find the GCF of 21158 and 21167?

We will first find the prime factorization of 21158 and 21167. After we will calculate the factors of 21158 and 21167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21167

Prime factors of 21167 are 61, 347. Prime factorization of 21167 in exponential form is:

21167 = 61¹ × 347¹

Step-3: Factors of 21158

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

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

Step-4: Factors of 21167

List of positive integer factors of 21167 that divides 21158 without a remainder.

1, 61, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21158 and 21167. The biggest common factor number is the GCF number.
So the greatest common factor 21158 and 21167 is 1.

Also check out the Least Common Multiple of 21158 and 21167