What is the Greatest Common Factor of 33680 and 33687?

Greatest common factor (GCF) of 33680 and 33687 is 1.

GCF(33680,33687) = 1

We will now calculate the prime factors of 33680 and 33687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33680 and 33687.

How to find the GCF of 33680 and 33687?

We will first find the prime factorization of 33680 and 33687. After we will calculate the factors of 33680 and 33687 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 33687

Prime factors of 33687 are 3, 19, 197. Prime factorization of 33687 in exponential form is:

33687 = 3² × 19¹ × 197¹

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 33687

List of positive integer factors of 33687 that divides 33680 without a remainder.

1, 3, 9, 19, 57, 171, 197, 591, 1773, 3743, 11229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33680 and 33687. The biggest common factor number is the GCF number.
So the greatest common factor 33680 and 33687 is 1.

Also check out the Least Common Multiple of 33680 and 33687