What is the Greatest Common Factor of 85714 and 85731?

Greatest common factor (GCF) of 85714 and 85731 is 17.

GCF(85714,85731) = 17

We will now calculate the prime factors of 85714 and 85731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85714 and 85731.

How to find the GCF of 85714 and 85731?

We will first find the prime factorization of 85714 and 85731. After we will calculate the factors of 85714 and 85731 and find the biggest common factor number .

Step-1: Prime Factorization of 85714

Prime factors of 85714 are 2, 17, 2521. Prime factorization of 85714 in exponential form is:

85714 = 2¹ × 17¹ × 2521¹

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 85714

List of positive integer factors of 85714 that divides 85714 without a remainder.

1, 2, 17, 34, 2521, 5042, 42857

Step-4: Factors of 85731

List of positive integer factors of 85731 that divides 85714 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 85714 and 85731. The biggest common factor number is the GCF number.
So the greatest common factor 85714 and 85731 is 17.

Also check out the Least Common Multiple of 85714 and 85731