What is the Greatest Common Factor of 33680 and 33699?

Greatest common factor (GCF) of 33680 and 33699 is 1.

GCF(33680,33699) = 1

We will now calculate the prime factors of 33680 and 33699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33680 and 33699.

How to find the GCF of 33680 and 33699?

We will first find the prime factorization of 33680 and 33699. After we will calculate the factors of 33680 and 33699 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 33699

Prime factors of 33699 are 3, 47, 239. Prime factorization of 33699 in exponential form is:

33699 = 3¹ × 47¹ × 239¹

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 33699

List of positive integer factors of 33699 that divides 33680 without a remainder.

1, 3, 47, 141, 239, 717, 11233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33680 and 33699. The biggest common factor number is the GCF number.
So the greatest common factor 33680 and 33699 is 1.

Also check out the Least Common Multiple of 33680 and 33699