What is the Greatest Common Factor of 67683 and 67698?

Greatest common factor (GCF) of 67683 and 67698 is 3.

GCF(67683,67698) = 3

We will now calculate the prime factors of 67683 and 67698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67683 and 67698.

How to find the GCF of 67683 and 67698?

We will first find the prime factorization of 67683 and 67698. After we will calculate the factors of 67683 and 67698 and find the biggest common factor number .

Step-1: Prime Factorization of 67683

Prime factors of 67683 are 3, 7, 11, 293. Prime factorization of 67683 in exponential form is:

67683 = 3¹ × 7¹ × 11¹ × 293¹

Step-2: Prime Factorization of 67698

Prime factors of 67698 are 2, 3, 3761. Prime factorization of 67698 in exponential form is:

67698 = 2¹ × 3² × 3761¹

Step-3: Factors of 67683

List of positive integer factors of 67683 that divides 67683 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 293, 879, 2051, 3223, 6153, 9669, 22561

Step-4: Factors of 67698

List of positive integer factors of 67698 that divides 67683 without a remainder.

1, 2, 3, 6, 9, 18, 3761, 7522, 11283, 22566, 33849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67683 and 67698. The biggest common factor number is the GCF number.
So the greatest common factor 67683 and 67698 is 3.

Also check out the Least Common Multiple of 67683 and 67698