What is the Greatest Common Factor of 19845 and 19854?

Greatest common factor (GCF) of 19845 and 19854 is 9.

GCF(19845,19854) = 9

We will now calculate the prime factors of 19845 and 19854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19845 and 19854.

How to find the GCF of 19845 and 19854?

We will first find the prime factorization of 19845 and 19854. After we will calculate the factors of 19845 and 19854 and find the biggest common factor number .

Step-1: Prime Factorization of 19845

Prime factors of 19845 are 3, 5, 7. Prime factorization of 19845 in exponential form is:

19845 = 3⁴ × 5¹ × 7²

Step-2: Prime Factorization of 19854

Prime factors of 19854 are 2, 3, 1103. Prime factorization of 19854 in exponential form is:

19854 = 2¹ × 3² × 1103¹

Step-3: Factors of 19845

List of positive integer factors of 19845 that divides 19845 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 81, 105, 135, 147, 189, 245, 315, 405, 441, 567, 735, 945, 1323, 2205, 2835, 3969, 6615

Step-4: Factors of 19854

List of positive integer factors of 19854 that divides 19845 without a remainder.

1, 2, 3, 6, 9, 18, 1103, 2206, 3309, 6618, 9927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19845 and 19854. The biggest common factor number is the GCF number.
So the greatest common factor 19845 and 19854 is 9.

Also check out the Least Common Multiple of 19845 and 19854