What is the Greatest Common Factor of 67683 and 67689?

Greatest common factor (GCF) of 67683 and 67689 is 3.

GCF(67683,67689) = 3

We will now calculate the prime factors of 67683 and 67689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67683 and 67689.

How to find the GCF of 67683 and 67689?

We will first find the prime factorization of 67683 and 67689. After we will calculate the factors of 67683 and 67689 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 67689

Prime factors of 67689 are 3, 23, 109. Prime factorization of 67689 in exponential form is:

67689 = 3³ × 23¹ × 109¹

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 67689

List of positive integer factors of 67689 that divides 67683 without a remainder.

1, 3, 9, 23, 27, 69, 109, 207, 327, 621, 981, 2507, 2943, 7521, 22563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67683 and 67689. The biggest common factor number is the GCF number.
So the greatest common factor 67683 and 67689 is 3.

Also check out the Least Common Multiple of 67683 and 67689