What is the Greatest Common Factor of 34818 and 34827?

Greatest common factor (GCF) of 34818 and 34827 is 3.

GCF(34818,34827) = 3

We will now calculate the prime factors of 34818 and 34827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34818 and 34827.

How to find the GCF of 34818 and 34827?

We will first find the prime factorization of 34818 and 34827. After we will calculate the factors of 34818 and 34827 and find the biggest common factor number .

Step-1: Prime Factorization of 34818

Prime factors of 34818 are 2, 3, 7, 829. Prime factorization of 34818 in exponential form is:

34818 = 2¹ × 3¹ × 7¹ × 829¹

Step-2: 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-3: Factors of 34818

List of positive integer factors of 34818 that divides 34818 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 829, 1658, 2487, 4974, 5803, 11606, 17409

Step-4: Factors of 34827

List of positive integer factors of 34827 that divides 34818 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34818 and 34827. The biggest common factor number is the GCF number.
So the greatest common factor 34818 and 34827 is 3.

Also check out the Least Common Multiple of 34818 and 34827