What is the Greatest Common Factor of 67754 and 67773?

Greatest common factor (GCF) of 67754 and 67773 is 19.

GCF(67754,67773) = 19

We will now calculate the prime factors of 67754 and 67773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67754 and 67773.

How to find the GCF of 67754 and 67773?

We will first find the prime factorization of 67754 and 67773. After we will calculate the factors of 67754 and 67773 and find the biggest common factor number .

Step-1: Prime Factorization of 67754

Prime factors of 67754 are 2, 19, 1783. Prime factorization of 67754 in exponential form is:

67754 = 2¹ × 19¹ × 1783¹

Step-2: 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-3: Factors of 67754

List of positive integer factors of 67754 that divides 67754 without a remainder.

1, 2, 19, 38, 1783, 3566, 33877

Step-4: Factors of 67773

List of positive integer factors of 67773 that divides 67754 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67754 and 67773. The biggest common factor number is the GCF number.
So the greatest common factor 67754 and 67773 is 19.

Also check out the Least Common Multiple of 67754 and 67773