What is the Greatest Common Factor of 85734 and 85745?

Greatest common factor (GCF) of 85734 and 85745 is 11.

GCF(85734,85745) = 11

We will now calculate the prime factors of 85734 and 85745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85734 and 85745.

How to find the GCF of 85734 and 85745?

We will first find the prime factorization of 85734 and 85745. After we will calculate the factors of 85734 and 85745 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 85745

Prime factors of 85745 are 5, 11, 1559. Prime factorization of 85745 in exponential form is:

85745 = 5¹ × 11¹ × 1559¹

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 85745

List of positive integer factors of 85745 that divides 85734 without a remainder.

1, 5, 11, 55, 1559, 7795, 17149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85734 and 85745. The biggest common factor number is the GCF number.
So the greatest common factor 85734 and 85745 is 11.

Also check out the Least Common Multiple of 85734 and 85745