What is the Greatest Common Factor of 9854 and 9864?

Greatest common factor (GCF) of 9854 and 9864 is 2.

GCF(9854,9864) = 2

We will now calculate the prime factors of 9854 and 9864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9854 and 9864.

How to find the GCF of 9854 and 9864?

We will first find the prime factorization of 9854 and 9864. After we will calculate the factors of 9854 and 9864 and find the biggest common factor number .

Step-1: Prime Factorization of 9854

Prime factors of 9854 are 2, 13, 379. Prime factorization of 9854 in exponential form is:

9854 = 2¹ × 13¹ × 379¹

Step-2: 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-3: Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1, 2, 13, 26, 379, 758, 4927

Step-4: Factors of 9864

List of positive integer factors of 9864 that divides 9854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9854 and 9864. The biggest common factor number is the GCF number.
So the greatest common factor 9854 and 9864 is 2.

Also check out the Least Common Multiple of 9854 and 9864