What is the Greatest Common Factor of 85716 and 85734?

Greatest common factor (GCF) of 85716 and 85734 is 18.

GCF(85716,85734) = 18

We will now calculate the prime factors of 85716 and 85734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85716 and 85734.

How to find the GCF of 85716 and 85734?

We will first find the prime factorization of 85716 and 85734. After we will calculate the factors of 85716 and 85734 and find the biggest common factor number .

Step-1: Prime Factorization of 85716

Prime factors of 85716 are 2, 3, 2381. Prime factorization of 85716 in exponential form is:

85716 = 2² × 3² × 2381¹

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 85716

List of positive integer factors of 85716 that divides 85716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2381, 4762, 7143, 9524, 14286, 21429, 28572, 42858

Step-4: Factors of 85734

List of positive integer factors of 85734 that divides 85716 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 85716 and 85734. The biggest common factor number is the GCF number.
So the greatest common factor 85716 and 85734 is 18.

Also check out the Least Common Multiple of 85716 and 85734