What is the Greatest Common Factor of 73689 and 73702?

Greatest common factor (GCF) of 73689 and 73702 is 1.

GCF(73689,73702) = 1

We will now calculate the prime factors of 73689 and 73702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73689 and 73702.

How to find the GCF of 73689 and 73702?

We will first find the prime factorization of 73689 and 73702. After we will calculate the factors of 73689 and 73702 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 73702

Prime factors of 73702 are 2, 43, 857. Prime factorization of 73702 in exponential form is:

73702 = 2¹ × 43¹ × 857¹

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 73702

List of positive integer factors of 73702 that divides 73689 without a remainder.

1, 2, 43, 86, 857, 1714, 36851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73689 and 73702. The biggest common factor number is the GCF number.
So the greatest common factor 73689 and 73702 is 1.

Also check out the Least Common Multiple of 73689 and 73702