What is the Greatest Common Factor of 19836 and 19847?

Greatest common factor (GCF) of 19836 and 19847 is 1.

GCF(19836,19847) = 1

We will now calculate the prime factors of 19836 and 19847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19836 and 19847.

How to find the GCF of 19836 and 19847?

We will first find the prime factorization of 19836 and 19847. After we will calculate the factors of 19836 and 19847 and find the biggest common factor number .

Step-1: Prime Factorization of 19836

Prime factors of 19836 are 2, 3, 19, 29. Prime factorization of 19836 in exponential form is:

19836 = 2² × 3² × 19¹ × 29¹

Step-2: Prime Factorization of 19847

Prime factors of 19847 are 89, 223. Prime factorization of 19847 in exponential form is:

19847 = 89¹ × 223¹

Step-3: Factors of 19836

List of positive integer factors of 19836 that divides 19836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 29, 36, 38, 57, 58, 76, 87, 114, 116, 171, 174, 228, 261, 342, 348, 522, 551, 684, 1044, 1102, 1653, 2204, 3306, 4959, 6612, 9918

Step-4: Factors of 19847

List of positive integer factors of 19847 that divides 19836 without a remainder.

1, 89, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19836 and 19847. The biggest common factor number is the GCF number.
So the greatest common factor 19836 and 19847 is 1.

Also check out the Least Common Multiple of 19836 and 19847