What is the Greatest Common Factor of 21174 and 21194?

Greatest common factor (GCF) of 21174 and 21194 is 2.

GCF(21174,21194) = 2

We will now calculate the prime factors of 21174 and 21194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21174 and 21194.

How to find the GCF of 21174 and 21194?

We will first find the prime factorization of 21174 and 21194. After we will calculate the factors of 21174 and 21194 and find the biggest common factor number .

Step-1: Prime Factorization of 21174

Prime factors of 21174 are 2, 3, 3529. Prime factorization of 21174 in exponential form is:

21174 = 2¹ × 3¹ × 3529¹

Step-2: Prime Factorization of 21194

Prime factors of 21194 are 2, 10597. Prime factorization of 21194 in exponential form is:

21194 = 2¹ × 10597¹

Step-3: Factors of 21174

List of positive integer factors of 21174 that divides 21174 without a remainder.

1, 2, 3, 6, 3529, 7058, 10587

Step-4: Factors of 21194

List of positive integer factors of 21194 that divides 21174 without a remainder.

1, 2, 10597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21174 and 21194. The biggest common factor number is the GCF number.
So the greatest common factor 21174 and 21194 is 2.

Also check out the Least Common Multiple of 21174 and 21194