What is the Greatest Common Factor of 19803 and 19812?

Greatest common factor (GCF) of 19803 and 19812 is 3.

GCF(19803,19812) = 3

We will now calculate the prime factors of 19803 and 19812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19803 and 19812.

How to find the GCF of 19803 and 19812?

We will first find the prime factorization of 19803 and 19812. After we will calculate the factors of 19803 and 19812 and find the biggest common factor number .

Step-1: Prime Factorization of 19803

Prime factors of 19803 are 3, 7, 23, 41. Prime factorization of 19803 in exponential form is:

19803 = 3¹ × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 19812

Prime factors of 19812 are 2, 3, 13, 127. Prime factorization of 19812 in exponential form is:

19812 = 2² × 3¹ × 13¹ × 127¹

Step-3: Factors of 19803

List of positive integer factors of 19803 that divides 19803 without a remainder.

1, 3, 7, 21, 23, 41, 69, 123, 161, 287, 483, 861, 943, 2829, 6601

Step-4: Factors of 19812

List of positive integer factors of 19812 that divides 19803 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 127, 156, 254, 381, 508, 762, 1524, 1651, 3302, 4953, 6604, 9906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19803 and 19812. The biggest common factor number is the GCF number.
So the greatest common factor 19803 and 19812 is 3.

Also check out the Least Common Multiple of 19803 and 19812