What is the Greatest Common Factor of 10854 and 10863?

Greatest common factor (GCF) of 10854 and 10863 is 9.

GCF(10854,10863) = 9

We will now calculate the prime factors of 10854 and 10863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10854 and 10863.

How to find the GCF of 10854 and 10863?

We will first find the prime factorization of 10854 and 10863. After we will calculate the factors of 10854 and 10863 and find the biggest common factor number .

Step-1: Prime Factorization of 10854

Prime factors of 10854 are 2, 3, 67. Prime factorization of 10854 in exponential form is:

10854 = 2¹ × 3⁴ × 67¹

Step-2: Prime Factorization of 10863

Prime factors of 10863 are 3, 17, 71. Prime factorization of 10863 in exponential form is:

10863 = 3² × 17¹ × 71¹

Step-3: Factors of 10854

List of positive integer factors of 10854 that divides 10854 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 402, 603, 1206, 1809, 3618, 5427

Step-4: Factors of 10863

List of positive integer factors of 10863 that divides 10854 without a remainder.

1, 3, 9, 17, 51, 71, 153, 213, 639, 1207, 3621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10854 and 10863. The biggest common factor number is the GCF number.
So the greatest common factor 10854 and 10863 is 9.

Also check out the Least Common Multiple of 10854 and 10863