What is the Greatest Common Factor of 33785 and 33793?

Greatest common factor (GCF) of 33785 and 33793 is 1.

GCF(33785,33793) = 1

We will now calculate the prime factors of 33785 and 33793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33785 and 33793.

How to find the GCF of 33785 and 33793?

We will first find the prime factorization of 33785 and 33793. After we will calculate the factors of 33785 and 33793 and find the biggest common factor number .

Step-1: Prime Factorization of 33785

Prime factors of 33785 are 5, 29, 233. Prime factorization of 33785 in exponential form is:

33785 = 5¹ × 29¹ × 233¹

Step-2: Prime Factorization of 33793

Prime factors of 33793 are 47, 719. Prime factorization of 33793 in exponential form is:

33793 = 47¹ × 719¹

Step-3: Factors of 33785

List of positive integer factors of 33785 that divides 33785 without a remainder.

1, 5, 29, 145, 233, 1165, 6757

Step-4: Factors of 33793

List of positive integer factors of 33793 that divides 33785 without a remainder.

1, 47, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33785 and 33793. The biggest common factor number is the GCF number.
So the greatest common factor 33785 and 33793 is 1.

Also check out the Least Common Multiple of 33785 and 33793