What is the Greatest Common Factor of 40854 and 40870?

Greatest common factor (GCF) of 40854 and 40870 is 2.

GCF(40854,40870) = 2

We will now calculate the prime factors of 40854 and 40870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40854 and 40870.

How to find the GCF of 40854 and 40870?

We will first find the prime factorization of 40854 and 40870. After we will calculate the factors of 40854 and 40870 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 40870

Prime factors of 40870 are 2, 5, 61, 67. Prime factorization of 40870 in exponential form is:

40870 = 2¹ × 5¹ × 61¹ × 67¹

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 40870

List of positive integer factors of 40870 that divides 40854 without a remainder.

1, 2, 5, 10, 61, 67, 122, 134, 305, 335, 610, 670, 4087, 8174, 20435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40854 and 40870. The biggest common factor number is the GCF number.
So the greatest common factor 40854 and 40870 is 2.

Also check out the Least Common Multiple of 40854 and 40870