What is the Greatest Common Factor of 9864 and 9872?

Greatest common factor (GCF) of 9864 and 9872 is 8.

GCF(9864,9872) = 8

We will now calculate the prime factors of 9864 and 9872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9864 and 9872.

How to find the GCF of 9864 and 9872?

We will first find the prime factorization of 9864 and 9872. After we will calculate the factors of 9864 and 9872 and find the biggest common factor number .

Step-1: Prime Factorization of 9864

Prime factors of 9864 are 2, 3, 137. Prime factorization of 9864 in exponential form is:

9864 = 2³ × 3² × 137¹

Step-2: Prime Factorization of 9872

Prime factors of 9872 are 2, 617. Prime factorization of 9872 in exponential form is:

9872 = 2⁴ × 617¹

Step-3: Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932

Step-4: Factors of 9872

List of positive integer factors of 9872 that divides 9864 without a remainder.

1, 2, 4, 8, 16, 617, 1234, 2468, 4936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9864 and 9872. The biggest common factor number is the GCF number.
So the greatest common factor 9864 and 9872 is 8.

Also check out the Least Common Multiple of 9864 and 9872