What is the Greatest Common Factor of 85713 and 85731?

Greatest common factor (GCF) of 85713 and 85731 is 3.

GCF(85713,85731) = 3

We will now calculate the prime factors of 85713 and 85731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85713 and 85731.

How to find the GCF of 85713 and 85731?

We will first find the prime factorization of 85713 and 85731. After we will calculate the factors of 85713 and 85731 and find the biggest common factor number .

Step-1: Prime Factorization of 85713

Prime factors of 85713 are 3, 28571. Prime factorization of 85713 in exponential form is:

85713 = 3¹ × 28571¹

Step-2: Prime Factorization of 85731

Prime factors of 85731 are 3, 17, 41. Prime factorization of 85731 in exponential form is:

85731 = 3¹ × 17¹ × 41²

Step-3: Factors of 85713

List of positive integer factors of 85713 that divides 85713 without a remainder.

1, 3, 28571

Step-4: Factors of 85731

List of positive integer factors of 85731 that divides 85713 without a remainder.

1, 3, 17, 41, 51, 123, 697, 1681, 2091, 5043, 28577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85713 and 85731. The biggest common factor number is the GCF number.
So the greatest common factor 85713 and 85731 is 3.

Also check out the Least Common Multiple of 85713 and 85731