What is the Greatest Common Factor of 21167 and 21173?

Greatest common factor (GCF) of 21167 and 21173 is 1.

GCF(21167,21173) = 1

We will now calculate the prime factors of 21167 and 21173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21167 and 21173.

How to find the GCF of 21167 and 21173?

We will first find the prime factorization of 21167 and 21173. After we will calculate the factors of 21167 and 21173 and find the biggest common factor number .

Step-1: Prime Factorization of 21167

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

21167 = 61¹ × 347¹

Step-2: Prime Factorization of 21173

Prime factors of 21173 are 31, 683. Prime factorization of 21173 in exponential form is:

21173 = 31¹ × 683¹

Step-3: Factors of 21167

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

1, 61, 347

Step-4: Factors of 21173

List of positive integer factors of 21173 that divides 21167 without a remainder.

1, 31, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21167 and 21173. The biggest common factor number is the GCF number.
So the greatest common factor 21167 and 21173 is 1.

Also check out the Least Common Multiple of 21167 and 21173