What is the Greatest Common Factor of 19386 and 19401?

Greatest common factor (GCF) of 19386 and 19401 is 3.

GCF(19386,19401) = 3

We will now calculate the prime factors of 19386 and 19401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19386 and 19401.

How to find the GCF of 19386 and 19401?

We will first find the prime factorization of 19386 and 19401. After we will calculate the factors of 19386 and 19401 and find the biggest common factor number .

Step-1: Prime Factorization of 19386

Prime factors of 19386 are 2, 3, 359. Prime factorization of 19386 in exponential form is:

19386 = 2¹ × 3³ × 359¹

Step-2: Prime Factorization of 19401

Prime factors of 19401 are 3, 29, 223. Prime factorization of 19401 in exponential form is:

19401 = 3¹ × 29¹ × 223¹

Step-3: Factors of 19386

List of positive integer factors of 19386 that divides 19386 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 359, 718, 1077, 2154, 3231, 6462, 9693

Step-4: Factors of 19401

List of positive integer factors of 19401 that divides 19386 without a remainder.

1, 3, 29, 87, 223, 669, 6467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19386 and 19401. The biggest common factor number is the GCF number.
So the greatest common factor 19386 and 19401 is 3.

Also check out the Least Common Multiple of 19386 and 19401