What is the Greatest Common Factor of 40830 and 40842?

Greatest common factor (GCF) of 40830 and 40842 is 6.

GCF(40830,40842) = 6

We will now calculate the prime factors of 40830 and 40842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40830 and 40842.

How to find the GCF of 40830 and 40842?

We will first find the prime factorization of 40830 and 40842. After we will calculate the factors of 40830 and 40842 and find the biggest common factor number .

Step-1: Prime Factorization of 40830

Prime factors of 40830 are 2, 3, 5, 1361. Prime factorization of 40830 in exponential form is:

40830 = 2¹ × 3¹ × 5¹ × 1361¹

Step-2: 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-3: Factors of 40830

List of positive integer factors of 40830 that divides 40830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1361, 2722, 4083, 6805, 8166, 13610, 20415

Step-4: Factors of 40842

List of positive integer factors of 40842 that divides 40830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40830 and 40842. The biggest common factor number is the GCF number.
So the greatest common factor 40830 and 40842 is 6.

Also check out the Least Common Multiple of 40830 and 40842