What is the Greatest Common Factor of 80723 and 80731?

Greatest common factor (GCF) of 80723 and 80731 is 1.

GCF(80723,80731) = 1

We will now calculate the prime factors of 80723 and 80731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80723 and 80731.

How to find the GCF of 80723 and 80731?

We will first find the prime factorization of 80723 and 80731. After we will calculate the factors of 80723 and 80731 and find the biggest common factor number .

Step-1: Prime Factorization of 80723

Prime factors of 80723 are 89, 907. Prime factorization of 80723 in exponential form is:

80723 = 89¹ × 907¹

Step-2: Prime Factorization of 80731

Prime factors of 80731 are 7, 19, 607. Prime factorization of 80731 in exponential form is:

80731 = 7¹ × 19¹ × 607¹

Step-3: Factors of 80723

List of positive integer factors of 80723 that divides 80723 without a remainder.

1, 89, 907

Step-4: Factors of 80731

List of positive integer factors of 80731 that divides 80723 without a remainder.

1, 7, 19, 133, 607, 4249, 11533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80723 and 80731. The biggest common factor number is the GCF number.
So the greatest common factor 80723 and 80731 is 1.

Also check out the Least Common Multiple of 80723 and 80731