What is the Greatest Common Factor of 19851 and 19869?

Greatest common factor (GCF) of 19851 and 19869 is 3.

GCF(19851,19869) = 3

We will now calculate the prime factors of 19851 and 19869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19851 and 19869.

How to find the GCF of 19851 and 19869?

We will first find the prime factorization of 19851 and 19869. After we will calculate the factors of 19851 and 19869 and find the biggest common factor number .

Step-1: Prime Factorization of 19851

Prime factors of 19851 are 3, 13, 509. Prime factorization of 19851 in exponential form is:

19851 = 3¹ × 13¹ × 509¹

Step-2: Prime Factorization of 19869

Prime factors of 19869 are 3, 37, 179. Prime factorization of 19869 in exponential form is:

19869 = 3¹ × 37¹ × 179¹

Step-3: Factors of 19851

List of positive integer factors of 19851 that divides 19851 without a remainder.

1, 3, 13, 39, 509, 1527, 6617

Step-4: Factors of 19869

List of positive integer factors of 19869 that divides 19851 without a remainder.

1, 3, 37, 111, 179, 537, 6623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19851 and 19869. The biggest common factor number is the GCF number.
So the greatest common factor 19851 and 19869 is 3.

Also check out the Least Common Multiple of 19851 and 19869