What is the Greatest Common Factor of 10854 and 10872?

Greatest common factor (GCF) of 10854 and 10872 is 18.

GCF(10854,10872) = 18

We will now calculate the prime factors of 10854 and 10872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10854 and 10872.

How to find the GCF of 10854 and 10872?

We will first find the prime factorization of 10854 and 10872. After we will calculate the factors of 10854 and 10872 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 10872

Prime factors of 10872 are 2, 3, 151. Prime factorization of 10872 in exponential form is:

10872 = 2³ × 3² × 151¹

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 10872

List of positive integer factors of 10872 that divides 10854 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10854 and 10872. The biggest common factor number is the GCF number.
So the greatest common factor 10854 and 10872 is 18.

Also check out the Least Common Multiple of 10854 and 10872