What is the Greatest Common Factor of 33780 and 33795?

Greatest common factor (GCF) of 33780 and 33795 is 15.

GCF(33780,33795) = 15

We will now calculate the prime factors of 33780 and 33795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33780 and 33795.

How to find the GCF of 33780 and 33795?

We will first find the prime factorization of 33780 and 33795. After we will calculate the factors of 33780 and 33795 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 33795

Prime factors of 33795 are 3, 5, 751. Prime factorization of 33795 in exponential form is:

33795 = 3² × 5¹ × 751¹

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 33795

List of positive integer factors of 33795 that divides 33780 without a remainder.

1, 3, 5, 9, 15, 45, 751, 2253, 3755, 6759, 11265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33780 and 33795. The biggest common factor number is the GCF number.
So the greatest common factor 33780 and 33795 is 15.

Also check out the Least Common Multiple of 33780 and 33795