What is the Greatest Common Factor of 19864 and 19870?

Greatest common factor (GCF) of 19864 and 19870 is 2.

GCF(19864,19870) = 2

We will now calculate the prime factors of 19864 and 19870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19864 and 19870.

How to find the GCF of 19864 and 19870?

We will first find the prime factorization of 19864 and 19870. After we will calculate the factors of 19864 and 19870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19870

Prime factors of 19870 are 2, 5, 1987. Prime factorization of 19870 in exponential form is:

19870 = 2¹ × 5¹ × 1987¹

Step-3: Factors of 19864

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

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

Step-4: Factors of 19870

List of positive integer factors of 19870 that divides 19864 without a remainder.

1, 2, 5, 10, 1987, 3974, 9935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19864 and 19870. The biggest common factor number is the GCF number.
So the greatest common factor 19864 and 19870 is 2.

Also check out the Least Common Multiple of 19864 and 19870