What is the Greatest Common Factor of 40854 and 40869?

Greatest common factor (GCF) of 40854 and 40869 is 3.

GCF(40854,40869) = 3

We will now calculate the prime factors of 40854 and 40869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40854 and 40869.

How to find the GCF of 40854 and 40869?

We will first find the prime factorization of 40854 and 40869. After we will calculate the factors of 40854 and 40869 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 40869

Prime factors of 40869 are 3, 19, 239. Prime factorization of 40869 in exponential form is:

40869 = 3² × 19¹ × 239¹

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 40869

List of positive integer factors of 40869 that divides 40854 without a remainder.

1, 3, 9, 19, 57, 171, 239, 717, 2151, 4541, 13623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40854 and 40869. The biggest common factor number is the GCF number.
So the greatest common factor 40854 and 40869 is 3.

Also check out the Least Common Multiple of 40854 and 40869