What is the Greatest Common Factor of 34824 and 34836?

Greatest common factor (GCF) of 34824 and 34836 is 12.

GCF(34824,34836) = 12

We will now calculate the prime factors of 34824 and 34836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34824 and 34836.

How to find the GCF of 34824 and 34836?

We will first find the prime factorization of 34824 and 34836. After we will calculate the factors of 34824 and 34836 and find the biggest common factor number .

Step-1: Prime Factorization of 34824

Prime factors of 34824 are 2, 3, 1451. Prime factorization of 34824 in exponential form is:

34824 = 2³ × 3¹ × 1451¹

Step-2: 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-3: Factors of 34824

List of positive integer factors of 34824 that divides 34824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1451, 2902, 4353, 5804, 8706, 11608, 17412

Step-4: Factors of 34836

List of positive integer factors of 34836 that divides 34824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34824 and 34836. The biggest common factor number is the GCF number.
So the greatest common factor 34824 and 34836 is 12.

Also check out the Least Common Multiple of 34824 and 34836