What is the Greatest Common Factor of 10840 and 10854?

Greatest common factor (GCF) of 10840 and 10854 is 2.

GCF(10840,10854) = 2

We will now calculate the prime factors of 10840 and 10854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10840 and 10854.

How to find the GCF of 10840 and 10854?

We will first find the prime factorization of 10840 and 10854. After we will calculate the factors of 10840 and 10854 and find the biggest common factor number .

Step-1: Prime Factorization of 10840

Prime factors of 10840 are 2, 5, 271. Prime factorization of 10840 in exponential form is:

10840 = 2³ × 5¹ × 271¹

Step-2: 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-3: Factors of 10840

List of positive integer factors of 10840 that divides 10840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 271, 542, 1084, 1355, 2168, 2710, 5420

Step-4: Factors of 10854

List of positive integer factors of 10854 that divides 10840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10840 and 10854. The biggest common factor number is the GCF number.
So the greatest common factor 10840 and 10854 is 2.

Also check out the Least Common Multiple of 10840 and 10854