What is the Greatest Common Factor of 67689 and 67707?

Greatest common factor (GCF) of 67689 and 67707 is 9.

GCF(67689,67707) = 9

We will now calculate the prime factors of 67689 and 67707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67689 and 67707.

How to find the GCF of 67689 and 67707?

We will first find the prime factorization of 67689 and 67707. After we will calculate the factors of 67689 and 67707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67707

Prime factors of 67707 are 3, 7523. Prime factorization of 67707 in exponential form is:

67707 = 3² × 7523¹

Step-3: Factors of 67689

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

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

Step-4: Factors of 67707

List of positive integer factors of 67707 that divides 67689 without a remainder.

1, 3, 9, 7523, 22569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67689 and 67707. The biggest common factor number is the GCF number.
So the greatest common factor 67689 and 67707 is 9.

Also check out the Least Common Multiple of 67689 and 67707