What is the Greatest Common Factor of 80723 and 80734?

Greatest common factor (GCF) of 80723 and 80734 is 1.

GCF(80723,80734) = 1

We will now calculate the prime factors of 80723 and 80734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80723 and 80734.

How to find the GCF of 80723 and 80734?

We will first find the prime factorization of 80723 and 80734. After we will calculate the factors of 80723 and 80734 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 80734

Prime factors of 80734 are 2, 37, 1091. Prime factorization of 80734 in exponential form is:

80734 = 2¹ × 37¹ × 1091¹

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 80734

List of positive integer factors of 80734 that divides 80723 without a remainder.

1, 2, 37, 74, 1091, 2182, 40367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80723 and 80734. The biggest common factor number is the GCF number.
So the greatest common factor 80723 and 80734 is 1.

Also check out the Least Common Multiple of 80723 and 80734