What is the Greatest Common Factor of 10854 and 10867?

Greatest common factor (GCF) of 10854 and 10867 is 1.

GCF(10854,10867) = 1

We will now calculate the prime factors of 10854 and 10867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10854 and 10867.

How to find the GCF of 10854 and 10867?

We will first find the prime factorization of 10854 and 10867. After we will calculate the factors of 10854 and 10867 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 10867

Prime factors of 10867 are 10867. Prime factorization of 10867 in exponential form is:

10867 = 10867¹

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 10867

List of positive integer factors of 10867 that divides 10854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10854 and 10867. The biggest common factor number is the GCF number.
So the greatest common factor 10854 and 10867 is 1.

Also check out the Least Common Multiple of 10854 and 10867