What is the Greatest Common Factor of 34828 and 34842?

Greatest common factor (GCF) of 34828 and 34842 is 2.

GCF(34828,34842) = 2

We will now calculate the prime factors of 34828 and 34842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34828 and 34842.

How to find the GCF of 34828 and 34842?

We will first find the prime factorization of 34828 and 34842. After we will calculate the factors of 34828 and 34842 and find the biggest common factor number .

Step-1: Prime Factorization of 34828

Prime factors of 34828 are 2, 8707. Prime factorization of 34828 in exponential form is:

34828 = 2² × 8707¹

Step-2: 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-3: Factors of 34828

List of positive integer factors of 34828 that divides 34828 without a remainder.

1, 2, 4, 8707, 17414

Step-4: Factors of 34842

List of positive integer factors of 34842 that divides 34828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34828 and 34842. The biggest common factor number is the GCF number.
So the greatest common factor 34828 and 34842 is 2.

Also check out the Least Common Multiple of 34828 and 34842