What is the Greatest Common Factor of 85723 and 85734?

Greatest common factor (GCF) of 85723 and 85734 is 11.

GCF(85723,85734) = 11

We will now calculate the prime factors of 85723 and 85734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85723 and 85734.

How to find the GCF of 85723 and 85734?

We will first find the prime factorization of 85723 and 85734. After we will calculate the factors of 85723 and 85734 and find the biggest common factor number .

Step-1: Prime Factorization of 85723

Prime factors of 85723 are 11, 7793. Prime factorization of 85723 in exponential form is:

85723 = 11¹ × 7793¹

Step-2: Prime Factorization of 85734

Prime factors of 85734 are 2, 3, 11, 433. Prime factorization of 85734 in exponential form is:

85734 = 2¹ × 3² × 11¹ × 433¹

Step-3: Factors of 85723

List of positive integer factors of 85723 that divides 85723 without a remainder.

1, 11, 7793

Step-4: Factors of 85734

List of positive integer factors of 85734 that divides 85723 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 433, 866, 1299, 2598, 3897, 4763, 7794, 9526, 14289, 28578, 42867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85723 and 85734. The biggest common factor number is the GCF number.
So the greatest common factor 85723 and 85734 is 11.

Also check out the Least Common Multiple of 85723 and 85734