What is the Greatest Common Factor of 33789 and 33803?

Greatest common factor (GCF) of 33789 and 33803 is 7.

GCF(33789,33803) = 7

We will now calculate the prime factors of 33789 and 33803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33789 and 33803.

How to find the GCF of 33789 and 33803?

We will first find the prime factorization of 33789 and 33803. After we will calculate the factors of 33789 and 33803 and find the biggest common factor number .

Step-1: Prime Factorization of 33789

Prime factors of 33789 are 3, 7, 1609. Prime factorization of 33789 in exponential form is:

33789 = 3¹ × 7¹ × 1609¹

Step-2: Prime Factorization of 33803

Prime factors of 33803 are 7, 11, 439. Prime factorization of 33803 in exponential form is:

33803 = 7¹ × 11¹ × 439¹

Step-3: Factors of 33789

List of positive integer factors of 33789 that divides 33789 without a remainder.

1, 3, 7, 21, 1609, 4827, 11263

Step-4: Factors of 33803

List of positive integer factors of 33803 that divides 33789 without a remainder.

1, 7, 11, 77, 439, 3073, 4829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33789 and 33803. The biggest common factor number is the GCF number.
So the greatest common factor 33789 and 33803 is 7.

Also check out the Least Common Multiple of 33789 and 33803