What is the Greatest Common Factor of 86709 and 86723?

Greatest common factor (GCF) of 86709 and 86723 is 7.

GCF(86709,86723) = 7

We will now calculate the prime factors of 86709 and 86723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86709 and 86723.

How to find the GCF of 86709 and 86723?

We will first find the prime factorization of 86709 and 86723. After we will calculate the factors of 86709 and 86723 and find the biggest common factor number .

Step-1: Prime Factorization of 86709

Prime factors of 86709 are 3, 7, 4129. Prime factorization of 86709 in exponential form is:

86709 = 3¹ × 7¹ × 4129¹

Step-2: Prime Factorization of 86723

Prime factors of 86723 are 7, 13, 953. Prime factorization of 86723 in exponential form is:

86723 = 7¹ × 13¹ × 953¹

Step-3: Factors of 86709

List of positive integer factors of 86709 that divides 86709 without a remainder.

1, 3, 7, 21, 4129, 12387, 28903

Step-4: Factors of 86723

List of positive integer factors of 86723 that divides 86709 without a remainder.

1, 7, 13, 91, 953, 6671, 12389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86709 and 86723. The biggest common factor number is the GCF number.
So the greatest common factor 86709 and 86723 is 7.

Also check out the Least Common Multiple of 86709 and 86723