What is the Greatest Common Factor of 34842 and 34854?

Greatest common factor (GCF) of 34842 and 34854 is 6.

GCF(34842,34854) = 6

We will now calculate the prime factors of 34842 and 34854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34842 and 34854.

How to find the GCF of 34842 and 34854?

We will first find the prime factorization of 34842 and 34854. After we will calculate the factors of 34842 and 34854 and find the biggest common factor number .

Step-1: Prime Factorization of 34842

Prime factors of 34842 are 2, 3, 5807. Prime factorization of 34842 in exponential form is:

34842 = 2¹ × 3¹ × 5807¹

Step-2: Prime Factorization of 34854

Prime factors of 34854 are 2, 3, 37, 157. Prime factorization of 34854 in exponential form is:

34854 = 2¹ × 3¹ × 37¹ × 157¹

Step-3: Factors of 34842

List of positive integer factors of 34842 that divides 34842 without a remainder.

1, 2, 3, 6, 5807, 11614, 17421

Step-4: Factors of 34854

List of positive integer factors of 34854 that divides 34842 without a remainder.

1, 2, 3, 6, 37, 74, 111, 157, 222, 314, 471, 942, 5809, 11618, 17427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34842 and 34854. The biggest common factor number is the GCF number.
So the greatest common factor 34842 and 34854 is 6.

Also check out the Least Common Multiple of 34842 and 34854