What is the Greatest Common Factor of 34820 and 34834?

Greatest common factor (GCF) of 34820 and 34834 is 2.

GCF(34820,34834) = 2

We will now calculate the prime factors of 34820 and 34834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34820 and 34834.

How to find the GCF of 34820 and 34834?

We will first find the prime factorization of 34820 and 34834. After we will calculate the factors of 34820 and 34834 and find the biggest common factor number .

Step-1: Prime Factorization of 34820

Prime factors of 34820 are 2, 5, 1741. Prime factorization of 34820 in exponential form is:

34820 = 2² × 5¹ × 1741¹

Step-2: Prime Factorization of 34834

Prime factors of 34834 are 2, 17417. Prime factorization of 34834 in exponential form is:

34834 = 2¹ × 17417¹

Step-3: Factors of 34820

List of positive integer factors of 34820 that divides 34820 without a remainder.

1, 2, 4, 5, 10, 20, 1741, 3482, 6964, 8705, 17410

Step-4: Factors of 34834

List of positive integer factors of 34834 that divides 34820 without a remainder.

1, 2, 17417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34820 and 34834. The biggest common factor number is the GCF number.
So the greatest common factor 34820 and 34834 is 2.

Also check out the Least Common Multiple of 34820 and 34834