What is the Greatest Common Factor of 32829 and 32844?

Greatest common factor (GCF) of 32829 and 32844 is 3.

GCF(32829,32844) = 3

We will now calculate the prime factors of 32829 and 32844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32829 and 32844.

How to find the GCF of 32829 and 32844?

We will first find the prime factorization of 32829 and 32844. After we will calculate the factors of 32829 and 32844 and find the biggest common factor number .

Step-1: Prime Factorization of 32829

Prime factors of 32829 are 3, 31, 353. Prime factorization of 32829 in exponential form is:

32829 = 3¹ × 31¹ × 353¹

Step-2: 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-3: Factors of 32829

List of positive integer factors of 32829 that divides 32829 without a remainder.

1, 3, 31, 93, 353, 1059, 10943

Step-4: Factors of 32844

List of positive integer factors of 32844 that divides 32829 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32829 and 32844. The biggest common factor number is the GCF number.
So the greatest common factor 32829 and 32844 is 3.

Also check out the Least Common Multiple of 32829 and 32844