What is the Greatest Common Factor of 33771 and 33780?

Greatest common factor (GCF) of 33771 and 33780 is 3.

GCF(33771,33780) = 3

We will now calculate the prime factors of 33771 and 33780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33771 and 33780.

How to find the GCF of 33771 and 33780?

We will first find the prime factorization of 33771 and 33780. After we will calculate the factors of 33771 and 33780 and find the biggest common factor number .

Step-1: Prime Factorization of 33771

Prime factors of 33771 are 3, 11257. Prime factorization of 33771 in exponential form is:

33771 = 3¹ × 11257¹

Step-2: 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-3: Factors of 33771

List of positive integer factors of 33771 that divides 33771 without a remainder.

1, 3, 11257

Step-4: Factors of 33780

List of positive integer factors of 33780 that divides 33771 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33771 and 33780. The biggest common factor number is the GCF number.
So the greatest common factor 33771 and 33780 is 3.

Also check out the Least Common Multiple of 33771 and 33780