What is the Greatest Common Factor of 32845 and 32850?

Greatest common factor (GCF) of 32845 and 32850 is 5.

GCF(32845,32850) = 5

We will now calculate the prime factors of 32845 and 32850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32845 and 32850.

How to find the GCF of 32845 and 32850?

We will first find the prime factorization of 32845 and 32850. After we will calculate the factors of 32845 and 32850 and find the biggest common factor number .

Step-1: Prime Factorization of 32845

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

32845 = 5¹ × 6569¹

Step-2: Prime Factorization of 32850

Prime factors of 32850 are 2, 3, 5, 73. Prime factorization of 32850 in exponential form is:

32850 = 2¹ × 3² × 5² × 73¹

Step-3: Factors of 32845

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

1, 5, 6569

Step-4: Factors of 32850

List of positive integer factors of 32850 that divides 32845 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 73, 75, 90, 146, 150, 219, 225, 365, 438, 450, 657, 730, 1095, 1314, 1825, 2190, 3285, 3650, 5475, 6570, 10950, 16425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32845 and 32850. The biggest common factor number is the GCF number.
So the greatest common factor 32845 and 32850 is 5.

Also check out the Least Common Multiple of 32845 and 32850