What is the Greatest Common Factor of 34827 and 34836?

Greatest common factor (GCF) of 34827 and 34836 is 3.

GCF(34827,34836) = 3

We will now calculate the prime factors of 34827 and 34836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34827 and 34836.

How to find the GCF of 34827 and 34836?

We will first find the prime factorization of 34827 and 34836. After we will calculate the factors of 34827 and 34836 and find the biggest common factor number .

Step-1: Prime Factorization of 34827

Prime factors of 34827 are 3, 13, 19, 47. Prime factorization of 34827 in exponential form is:

34827 = 3¹ × 13¹ × 19¹ × 47¹

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 34827

List of positive integer factors of 34827 that divides 34827 without a remainder.

1, 3, 13, 19, 39, 47, 57, 141, 247, 611, 741, 893, 1833, 2679, 11609

Step-4: Factors of 34836

List of positive integer factors of 34836 that divides 34827 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 34827 and 34836. The biggest common factor number is the GCF number.
So the greatest common factor 34827 and 34836 is 3.

Also check out the Least Common Multiple of 34827 and 34836