What is the Greatest Common Factor of 33680 and 33685?

Greatest common factor (GCF) of 33680 and 33685 is 5.

GCF(33680,33685) = 5

We will now calculate the prime factors of 33680 and 33685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33680 and 33685.

How to find the GCF of 33680 and 33685?

We will first find the prime factorization of 33680 and 33685. After we will calculate the factors of 33680 and 33685 and find the biggest common factor number .

Step-1: Prime Factorization of 33680

Prime factors of 33680 are 2, 5, 421. Prime factorization of 33680 in exponential form is:

33680 = 2⁴ × 5¹ × 421¹

Step-2: Prime Factorization of 33685

Prime factors of 33685 are 5, 6737. Prime factorization of 33685 in exponential form is:

33685 = 5¹ × 6737¹

Step-3: Factors of 33680

List of positive integer factors of 33680 that divides 33680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 421, 842, 1684, 2105, 3368, 4210, 6736, 8420, 16840

Step-4: Factors of 33685

List of positive integer factors of 33685 that divides 33680 without a remainder.

1, 5, 6737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33680 and 33685. The biggest common factor number is the GCF number.
So the greatest common factor 33680 and 33685 is 5.

Also check out the Least Common Multiple of 33680 and 33685