What is the Greatest Common Factor of 85734 and 85742?

Greatest common factor (GCF) of 85734 and 85742 is 2.

GCF(85734,85742) = 2

We will now calculate the prime factors of 85734 and 85742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85734 and 85742.

How to find the GCF of 85734 and 85742?

We will first find the prime factorization of 85734 and 85742. After we will calculate the factors of 85734 and 85742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85742

Prime factors of 85742 are 2, 43, 997. Prime factorization of 85742 in exponential form is:

85742 = 2¹ × 43¹ × 997¹

Step-3: Factors of 85734

List of positive integer factors of 85734 that divides 85734 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

Step-4: Factors of 85742

List of positive integer factors of 85742 that divides 85734 without a remainder.

1, 2, 43, 86, 997, 1994, 42871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85734 and 85742. The biggest common factor number is the GCF number.
So the greatest common factor 85734 and 85742 is 2.

Also check out the Least Common Multiple of 85734 and 85742