What is the Greatest Common Factor of 67773 and 67779?

Greatest common factor (GCF) of 67773 and 67779 is 3.

GCF(67773,67779) = 3

We will now calculate the prime factors of 67773 and 67779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67773 and 67779.

How to find the GCF of 67773 and 67779?

We will first find the prime factorization of 67773 and 67779. After we will calculate the factors of 67773 and 67779 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 67779

Prime factors of 67779 are 3, 17, 443. Prime factorization of 67779 in exponential form is:

67779 = 3² × 17¹ × 443¹

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 67779

List of positive integer factors of 67779 that divides 67773 without a remainder.

1, 3, 9, 17, 51, 153, 443, 1329, 3987, 7531, 22593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67773 and 67779. The biggest common factor number is the GCF number.
So the greatest common factor 67773 and 67779 is 3.

Also check out the Least Common Multiple of 67773 and 67779