What is the Greatest Common Factor of 34836 and 34845?

Greatest common factor (GCF) of 34836 and 34845 is 3.

GCF(34836,34845) = 3

We will now calculate the prime factors of 34836 and 34845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34836 and 34845.

How to find the GCF of 34836 and 34845?

We will first find the prime factorization of 34836 and 34845. After we will calculate the factors of 34836 and 34845 and find the biggest common factor number .

Step-1: Prime Factorization of 34836

Prime factors of 34836 are 2, 3, 2903. Prime factorization of 34836 in exponential form is:

34836 = 2² × 3¹ × 2903¹

Step-2: Prime Factorization of 34845

Prime factors of 34845 are 3, 5, 23, 101. Prime factorization of 34845 in exponential form is:

34845 = 3¹ × 5¹ × 23¹ × 101¹

Step-3: Factors of 34836

List of positive integer factors of 34836 that divides 34836 without a remainder.

1, 2, 3, 4, 6, 12, 2903, 5806, 8709, 11612, 17418

Step-4: Factors of 34845

List of positive integer factors of 34845 that divides 34836 without a remainder.

1, 3, 5, 15, 23, 69, 101, 115, 303, 345, 505, 1515, 2323, 6969, 11615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34836 and 34845. The biggest common factor number is the GCF number.
So the greatest common factor 34836 and 34845 is 3.

Also check out the Least Common Multiple of 34836 and 34845