What is the Greatest Common Factor of 40854 and 40873?

Greatest common factor (GCF) of 40854 and 40873 is 1.

GCF(40854,40873) = 1

We will now calculate the prime factors of 40854 and 40873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40854 and 40873.

How to find the GCF of 40854 and 40873?

We will first find the prime factorization of 40854 and 40873. After we will calculate the factors of 40854 and 40873 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40873

Prime factors of 40873 are 7, 5839. Prime factorization of 40873 in exponential form is:

40873 = 7¹ × 5839¹

Step-3: Factors of 40854

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

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

Step-4: Factors of 40873

List of positive integer factors of 40873 that divides 40854 without a remainder.

1, 7, 5839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40854 and 40873. The biggest common factor number is the GCF number.
So the greatest common factor 40854 and 40873 is 1.

Also check out the Least Common Multiple of 40854 and 40873