What is the Greatest Common Factor of 32835 and 32846?

Greatest common factor (GCF) of 32835 and 32846 is 11.

GCF(32835,32846) = 11

We will now calculate the prime factors of 32835 and 32846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32835 and 32846.

How to find the GCF of 32835 and 32846?

We will first find the prime factorization of 32835 and 32846. After we will calculate the factors of 32835 and 32846 and find the biggest common factor number .

Step-1: Prime Factorization of 32835

Prime factors of 32835 are 3, 5, 11, 199. Prime factorization of 32835 in exponential form is:

32835 = 3¹ × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 32846

Prime factors of 32846 are 2, 11, 1493. Prime factorization of 32846 in exponential form is:

32846 = 2¹ × 11¹ × 1493¹

Step-3: Factors of 32835

List of positive integer factors of 32835 that divides 32835 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 199, 597, 995, 2189, 2985, 6567, 10945

Step-4: Factors of 32846

List of positive integer factors of 32846 that divides 32835 without a remainder.

1, 2, 11, 22, 1493, 2986, 16423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32835 and 32846. The biggest common factor number is the GCF number.
So the greatest common factor 32835 and 32846 is 11.

Also check out the Least Common Multiple of 32835 and 32846