What is the Greatest Common Factor of 32844 and 32849?

Greatest common factor (GCF) of 32844 and 32849 is 1.

GCF(32844,32849) = 1

We will now calculate the prime factors of 32844 and 32849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32844 and 32849.

How to find the GCF of 32844 and 32849?

We will first find the prime factorization of 32844 and 32849. After we will calculate the factors of 32844 and 32849 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 32849

Prime factors of 32849 are 107, 307. Prime factorization of 32849 in exponential form is:

32849 = 107¹ × 307¹

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 32849

List of positive integer factors of 32849 that divides 32844 without a remainder.

1, 107, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32844 and 32849. The biggest common factor number is the GCF number.
So the greatest common factor 32844 and 32849 is 1.

Also check out the Least Common Multiple of 32844 and 32849