What is the Greatest Common Factor of 34810 and 34828?

Greatest common factor (GCF) of 34810 and 34828 is 2.

GCF(34810,34828) = 2

We will now calculate the prime factors of 34810 and 34828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34810 and 34828.

How to find the GCF of 34810 and 34828?

We will first find the prime factorization of 34810 and 34828. After we will calculate the factors of 34810 and 34828 and find the biggest common factor number .

Step-1: Prime Factorization of 34810

Prime factors of 34810 are 2, 5, 59. Prime factorization of 34810 in exponential form is:

34810 = 2¹ × 5¹ × 59²

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 34810

List of positive integer factors of 34810 that divides 34810 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590, 3481, 6962, 17405

Step-4: Factors of 34828

List of positive integer factors of 34828 that divides 34810 without a remainder.

1, 2, 4, 8707, 17414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34810 and 34828. The biggest common factor number is the GCF number.
So the greatest common factor 34810 and 34828 is 2.

Also check out the Least Common Multiple of 34810 and 34828