What is the Greatest Common Factor of 21180 and 21193?

Greatest common factor (GCF) of 21180 and 21193 is 1.

GCF(21180,21193) = 1

We will now calculate the prime factors of 21180 and 21193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21180 and 21193.

How to find the GCF of 21180 and 21193?

We will first find the prime factorization of 21180 and 21193. After we will calculate the factors of 21180 and 21193 and find the biggest common factor number .

Step-1: Prime Factorization of 21180

Prime factors of 21180 are 2, 3, 5, 353. Prime factorization of 21180 in exponential form is:

21180 = 2² × 3¹ × 5¹ × 353¹

Step-2: Prime Factorization of 21193

Prime factors of 21193 are 21193. Prime factorization of 21193 in exponential form is:

21193 = 21193¹

Step-3: Factors of 21180

List of positive integer factors of 21180 that divides 21180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 353, 706, 1059, 1412, 1765, 2118, 3530, 4236, 5295, 7060, 10590

Step-4: Factors of 21193

List of positive integer factors of 21193 that divides 21180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21180 and 21193. The biggest common factor number is the GCF number.
So the greatest common factor 21180 and 21193 is 1.

Also check out the Least Common Multiple of 21180 and 21193