What is the Greatest Common Factor of 67758 and 67767?

Greatest common factor (GCF) of 67758 and 67767 is 3.

GCF(67758,67767) = 3

We will now calculate the prime factors of 67758 and 67767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67758 and 67767.

How to find the GCF of 67758 and 67767?

We will first find the prime factorization of 67758 and 67767. After we will calculate the factors of 67758 and 67767 and find the biggest common factor number .

Step-1: Prime Factorization of 67758

Prime factors of 67758 are 2, 3, 23, 491. Prime factorization of 67758 in exponential form is:

67758 = 2¹ × 3¹ × 23¹ × 491¹

Step-2: Prime Factorization of 67767

Prime factors of 67767 are 3, 7, 461. Prime factorization of 67767 in exponential form is:

67767 = 3¹ × 7² × 461¹

Step-3: Factors of 67758

List of positive integer factors of 67758 that divides 67758 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 491, 982, 1473, 2946, 11293, 22586, 33879

Step-4: Factors of 67767

List of positive integer factors of 67767 that divides 67758 without a remainder.

1, 3, 7, 21, 49, 147, 461, 1383, 3227, 9681, 22589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67758 and 67767. The biggest common factor number is the GCF number.
So the greatest common factor 67758 and 67767 is 3.

Also check out the Least Common Multiple of 67758 and 67767