What is the Greatest Common Factor of 34806 and 34820?

Greatest common factor (GCF) of 34806 and 34820 is 2.

GCF(34806,34820) = 2

We will now calculate the prime factors of 34806 and 34820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34806 and 34820.

How to find the GCF of 34806 and 34820?

We will first find the prime factorization of 34806 and 34820. After we will calculate the factors of 34806 and 34820 and find the biggest common factor number .

Step-1: Prime Factorization of 34806

Prime factors of 34806 are 2, 3, 5801. Prime factorization of 34806 in exponential form is:

34806 = 2¹ × 3¹ × 5801¹

Step-2: 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-3: Factors of 34806

List of positive integer factors of 34806 that divides 34806 without a remainder.

1, 2, 3, 6, 5801, 11602, 17403

Step-4: Factors of 34820

List of positive integer factors of 34820 that divides 34806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34806 and 34820. The biggest common factor number is the GCF number.
So the greatest common factor 34806 and 34820 is 2.

Also check out the Least Common Multiple of 34806 and 34820