What is the Greatest Common Factor of 40834 and 40842?

Greatest common factor (GCF) of 40834 and 40842 is 2.

GCF(40834,40842) = 2

We will now calculate the prime factors of 40834 and 40842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40834 and 40842.

How to find the GCF of 40834 and 40842?

We will first find the prime factorization of 40834 and 40842. After we will calculate the factors of 40834 and 40842 and find the biggest common factor number .

Step-1: Prime Factorization of 40834

Prime factors of 40834 are 2, 17, 1201. Prime factorization of 40834 in exponential form is:

40834 = 2¹ × 17¹ × 1201¹

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 40834

List of positive integer factors of 40834 that divides 40834 without a remainder.

1, 2, 17, 34, 1201, 2402, 20417

Step-4: Factors of 40842

List of positive integer factors of 40842 that divides 40834 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 40834 and 40842. The biggest common factor number is the GCF number.
So the greatest common factor 40834 and 40842 is 2.

Also check out the Least Common Multiple of 40834 and 40842