What is the Greatest Common Factor of 67773 and 67791?

Greatest common factor (GCF) of 67773 and 67791 is 3.

GCF(67773,67791) = 3

We will now calculate the prime factors of 67773 and 67791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67773 and 67791.

How to find the GCF of 67773 and 67791?

We will first find the prime factorization of 67773 and 67791. After we will calculate the factors of 67773 and 67791 and find the biggest common factor number .

Step-1: Prime Factorization of 67773

Prime factors of 67773 are 3, 19, 29, 41. Prime factorization of 67773 in exponential form is:

67773 = 3¹ × 19¹ × 29¹ × 41¹

Step-2: Prime Factorization of 67791

Prime factors of 67791 are 3, 59, 383. Prime factorization of 67791 in exponential form is:

67791 = 3¹ × 59¹ × 383¹

Step-3: Factors of 67773

List of positive integer factors of 67773 that divides 67773 without a remainder.

1, 3, 19, 29, 41, 57, 87, 123, 551, 779, 1189, 1653, 2337, 3567, 22591

Step-4: Factors of 67791

List of positive integer factors of 67791 that divides 67773 without a remainder.

1, 3, 59, 177, 383, 1149, 22597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67773 and 67791. The biggest common factor number is the GCF number.
So the greatest common factor 67773 and 67791 is 3.

Also check out the Least Common Multiple of 67773 and 67791