What is the Greatest Common Factor of 32844 and 32856?

Greatest common factor (GCF) of 32844 and 32856 is 12.

GCF(32844,32856) = 12

We will now calculate the prime factors of 32844 and 32856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32844 and 32856.

How to find the GCF of 32844 and 32856?

We will first find the prime factorization of 32844 and 32856. After we will calculate the factors of 32844 and 32856 and find the biggest common factor number .

Step-1: Prime Factorization of 32844

Prime factors of 32844 are 2, 3, 7, 17, 23. Prime factorization of 32844 in exponential form is:

32844 = 2² × 3¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 32856

Prime factors of 32856 are 2, 3, 37. Prime factorization of 32856 in exponential form is:

32856 = 2³ × 3¹ × 37²

Step-3: Factors of 32844

List of positive integer factors of 32844 that divides 32844 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 23, 28, 34, 42, 46, 51, 68, 69, 84, 92, 102, 119, 138, 161, 204, 238, 276, 322, 357, 391, 476, 483, 644, 714, 782, 966, 1173, 1428, 1564, 1932, 2346, 2737, 4692, 5474, 8211, 10948, 16422

Step-4: Factors of 32856

List of positive integer factors of 32856 that divides 32844 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888, 1369, 2738, 4107, 5476, 8214, 10952, 16428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32844 and 32856. The biggest common factor number is the GCF number.
So the greatest common factor 32844 and 32856 is 12.

Also check out the Least Common Multiple of 32844 and 32856