What is the Greatest Common Factor of 40842 and 40854?

Greatest common factor (GCF) of 40842 and 40854 is 6.

GCF(40842,40854) = 6

We will now calculate the prime factors of 40842 and 40854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40842 and 40854.

How to find the GCF of 40842 and 40854?

We will first find the prime factorization of 40842 and 40854. After we will calculate the factors of 40842 and 40854 and find the biggest common factor number .

Step-1: Prime Factorization of 40842

Prime factors of 40842 are 2, 3, 2269. Prime factorization of 40842 in exponential form is:

40842 = 2¹ × 3² × 2269¹

Step-2: Prime Factorization of 40854

Prime factors of 40854 are 2, 3, 11, 619. Prime factorization of 40854 in exponential form is:

40854 = 2¹ × 3¹ × 11¹ × 619¹

Step-3: Factors of 40842

List of positive integer factors of 40842 that divides 40842 without a remainder.

1, 2, 3, 6, 9, 18, 2269, 4538, 6807, 13614, 20421

Step-4: Factors of 40854

List of positive integer factors of 40854 that divides 40842 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 619, 1238, 1857, 3714, 6809, 13618, 20427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40842 and 40854. The biggest common factor number is the GCF number.
So the greatest common factor 40842 and 40854 is 6.

Also check out the Least Common Multiple of 40842 and 40854