What is the Greatest Common Factor of 73689 and 73706?

Greatest common factor (GCF) of 73689 and 73706 is 1.

GCF(73689,73706) = 1

We will now calculate the prime factors of 73689 and 73706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73689 and 73706.

How to find the GCF of 73689 and 73706?

We will first find the prime factorization of 73689 and 73706. After we will calculate the factors of 73689 and 73706 and find the biggest common factor number .

Step-1: Prime Factorization of 73689

Prime factors of 73689 are 3, 7, 11, 29. Prime factorization of 73689 in exponential form is:

73689 = 3¹ × 7¹ × 11² × 29¹

Step-2: Prime Factorization of 73706

Prime factors of 73706 are 2, 137, 269. Prime factorization of 73706 in exponential form is:

73706 = 2¹ × 137¹ × 269¹

Step-3: Factors of 73689

List of positive integer factors of 73689 that divides 73689 without a remainder.

1, 3, 7, 11, 21, 29, 33, 77, 87, 121, 203, 231, 319, 363, 609, 847, 957, 2233, 2541, 3509, 6699, 10527, 24563

Step-4: Factors of 73706

List of positive integer factors of 73706 that divides 73689 without a remainder.

1, 2, 137, 269, 274, 538, 36853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73689 and 73706. The biggest common factor number is the GCF number.
So the greatest common factor 73689 and 73706 is 1.

Also check out the Least Common Multiple of 73689 and 73706