What is the Greatest Common Factor of 34812 and 34824?

Greatest common factor (GCF) of 34812 and 34824 is 12.

GCF(34812,34824) = 12

We will now calculate the prime factors of 34812 and 34824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34812 and 34824.

How to find the GCF of 34812 and 34824?

We will first find the prime factorization of 34812 and 34824. After we will calculate the factors of 34812 and 34824 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 34824

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

34824 = 2³ × 3¹ × 1451¹

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 34824

List of positive integer factors of 34824 that divides 34812 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34812 and 34824. The biggest common factor number is the GCF number.
So the greatest common factor 34812 and 34824 is 12.

Also check out the Least Common Multiple of 34812 and 34824