What is the Greatest Common Factor of 10854 and 10864?

Greatest common factor (GCF) of 10854 and 10864 is 2.

GCF(10854,10864) = 2

We will now calculate the prime factors of 10854 and 10864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10854 and 10864.

How to find the GCF of 10854 and 10864?

We will first find the prime factorization of 10854 and 10864. After we will calculate the factors of 10854 and 10864 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 10864

Prime factors of 10864 are 2, 7, 97. Prime factorization of 10864 in exponential form is:

10864 = 2⁴ × 7¹ × 97¹

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 10864

List of positive integer factors of 10864 that divides 10854 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 97, 112, 194, 388, 679, 776, 1358, 1552, 2716, 5432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10854 and 10864. The biggest common factor number is the GCF number.
So the greatest common factor 10854 and 10864 is 2.

Also check out the Least Common Multiple of 10854 and 10864