What is the Greatest Common Factor of 34822 and 34828?

Greatest common factor (GCF) of 34822 and 34828 is 2.

GCF(34822,34828) = 2

We will now calculate the prime factors of 34822 and 34828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34822 and 34828.

How to find the GCF of 34822 and 34828?

We will first find the prime factorization of 34822 and 34828. After we will calculate the factors of 34822 and 34828 and find the biggest common factor number .

Step-1: Prime Factorization of 34822

Prime factors of 34822 are 2, 23, 757. Prime factorization of 34822 in exponential form is:

34822 = 2¹ × 23¹ × 757¹

Step-2: Prime Factorization of 34828

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

34828 = 2² × 8707¹

Step-3: Factors of 34822

List of positive integer factors of 34822 that divides 34822 without a remainder.

1, 2, 23, 46, 757, 1514, 17411

Step-4: Factors of 34828

List of positive integer factors of 34828 that divides 34822 without a remainder.

1, 2, 4, 8707, 17414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34822 and 34828. The biggest common factor number is the GCF number.
So the greatest common factor 34822 and 34828 is 2.

Also check out the Least Common Multiple of 34822 and 34828