What is the Greatest Common Factor of 34812 and 34827?

Greatest common factor (GCF) of 34812 and 34827 is 3.

GCF(34812,34827) = 3

We will now calculate the prime factors of 34812 and 34827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34812 and 34827.

How to find the GCF of 34812 and 34827?

We will first find the prime factorization of 34812 and 34827. After we will calculate the factors of 34812 and 34827 and find the biggest common factor number .

Step-1: Prime Factorization of 34812

Prime factors of 34812 are 2, 3, 967. Prime factorization of 34812 in exponential form is:

34812 = 2² × 3² × 967¹

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 34812

List of positive integer factors of 34812 that divides 34812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 967, 1934, 2901, 3868, 5802, 8703, 11604, 17406

Step-4: Factors of 34827

List of positive integer factors of 34827 that divides 34812 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 34812 and 34827. The biggest common factor number is the GCF number.
So the greatest common factor 34812 and 34827 is 3.

Also check out the Least Common Multiple of 34812 and 34827