What is the Greatest Common Factor of 33780 and 33785?

Greatest common factor (GCF) of 33780 and 33785 is 5.

GCF(33780,33785) = 5

We will now calculate the prime factors of 33780 and 33785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33780 and 33785.

How to find the GCF of 33780 and 33785?

We will first find the prime factorization of 33780 and 33785. After we will calculate the factors of 33780 and 33785 and find the biggest common factor number .

Step-1: Prime Factorization of 33780

Prime factors of 33780 are 2, 3, 5, 563. Prime factorization of 33780 in exponential form is:

33780 = 2² × 3¹ × 5¹ × 563¹

Step-2: 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-3: Factors of 33780

List of positive integer factors of 33780 that divides 33780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 563, 1126, 1689, 2252, 2815, 3378, 5630, 6756, 8445, 11260, 16890

Step-4: Factors of 33785

List of positive integer factors of 33785 that divides 33780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33780 and 33785. The biggest common factor number is the GCF number.
So the greatest common factor 33780 and 33785 is 5.

Also check out the Least Common Multiple of 33780 and 33785