What is the Greatest Common Factor of 80689 and 80707?

Greatest common factor (GCF) of 80689 and 80707 is 1.

GCF(80689,80707) = 1

We will now calculate the prime factors of 80689 and 80707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80689 and 80707.

How to find the GCF of 80689 and 80707?

We will first find the prime factorization of 80689 and 80707. After we will calculate the factors of 80689 and 80707 and find the biggest common factor number .

Step-1: Prime Factorization of 80689

Prime factors of 80689 are 7, 11527. Prime factorization of 80689 in exponential form is:

80689 = 7¹ × 11527¹

Step-2: Prime Factorization of 80707

Prime factors of 80707 are 11, 23, 29. Prime factorization of 80707 in exponential form is:

80707 = 11² × 23¹ × 29¹

Step-3: Factors of 80689

List of positive integer factors of 80689 that divides 80689 without a remainder.

1, 7, 11527

Step-4: Factors of 80707

List of positive integer factors of 80707 that divides 80689 without a remainder.

1, 11, 23, 29, 121, 253, 319, 667, 2783, 3509, 7337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80689 and 80707. The biggest common factor number is the GCF number.
So the greatest common factor 80689 and 80707 is 1.

Also check out the Least Common Multiple of 80689 and 80707