What is the Greatest Common Factor of 32835 and 32845?

Greatest common factor (GCF) of 32835 and 32845 is 5.

GCF(32835,32845) = 5

We will now calculate the prime factors of 32835 and 32845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32835 and 32845.

How to find the GCF of 32835 and 32845?

We will first find the prime factorization of 32835 and 32845. After we will calculate the factors of 32835 and 32845 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 32845

Prime factors of 32845 are 5, 6569. Prime factorization of 32845 in exponential form is:

32845 = 5¹ × 6569¹

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 32845

List of positive integer factors of 32845 that divides 32835 without a remainder.

1, 5, 6569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32835 and 32845. The biggest common factor number is the GCF number.
So the greatest common factor 32835 and 32845 is 5.

Also check out the Least Common Multiple of 32835 and 32845