What is the Greatest Common Factor of 10854 and 10862?

Greatest common factor (GCF) of 10854 and 10862 is 2.

GCF(10854,10862) = 2

We will now calculate the prime factors of 10854 and 10862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10854 and 10862.

How to find the GCF of 10854 and 10862?

We will first find the prime factorization of 10854 and 10862. After we will calculate the factors of 10854 and 10862 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 10862

Prime factors of 10862 are 2, 5431. Prime factorization of 10862 in exponential form is:

10862 = 2¹ × 5431¹

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 10862

List of positive integer factors of 10862 that divides 10854 without a remainder.

1, 2, 5431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10854 and 10862. The biggest common factor number is the GCF number.
So the greatest common factor 10854 and 10862 is 2.

Also check out the Least Common Multiple of 10854 and 10862