What is the Greatest Common Factor of 19179 and 19194?

Greatest common factor (GCF) of 19179 and 19194 is 3.

GCF(19179,19194) = 3

We will now calculate the prime factors of 19179 and 19194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19179 and 19194.

How to find the GCF of 19179 and 19194?

We will first find the prime factorization of 19179 and 19194. After we will calculate the factors of 19179 and 19194 and find the biggest common factor number .

Step-1: Prime Factorization of 19179

Prime factors of 19179 are 3, 2131. Prime factorization of 19179 in exponential form is:

19179 = 3² × 2131¹

Step-2: Prime Factorization of 19194

Prime factors of 19194 are 2, 3, 7, 457. Prime factorization of 19194 in exponential form is:

19194 = 2¹ × 3¹ × 7¹ × 457¹

Step-3: Factors of 19179

List of positive integer factors of 19179 that divides 19179 without a remainder.

1, 3, 9, 2131, 6393

Step-4: Factors of 19194

List of positive integer factors of 19194 that divides 19179 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 457, 914, 1371, 2742, 3199, 6398, 9597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19179 and 19194. The biggest common factor number is the GCF number.
So the greatest common factor 19179 and 19194 is 3.

Also check out the Least Common Multiple of 19179 and 19194