What is the Greatest Common Factor of 19851 and 19864?

Greatest common factor (GCF) of 19851 and 19864 is 13.

GCF(19851,19864) = 13

We will now calculate the prime factors of 19851 and 19864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19851 and 19864.

How to find the GCF of 19851 and 19864?

We will first find the prime factorization of 19851 and 19864. After we will calculate the factors of 19851 and 19864 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 19864

Prime factors of 19864 are 2, 13, 191. Prime factorization of 19864 in exponential form is:

19864 = 2³ × 13¹ × 191¹

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 19864

List of positive integer factors of 19864 that divides 19851 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 191, 382, 764, 1528, 2483, 4966, 9932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19851 and 19864. The biggest common factor number is the GCF number.
So the greatest common factor 19851 and 19864 is 13.

Also check out the Least Common Multiple of 19851 and 19864