What is the Greatest Common Factor of 85729 and 85744?

Greatest common factor (GCF) of 85729 and 85744 is 1.

GCF(85729,85744) = 1

We will now calculate the prime factors of 85729 and 85744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85729 and 85744.

How to find the GCF of 85729 and 85744?

We will first find the prime factorization of 85729 and 85744. After we will calculate the factors of 85729 and 85744 and find the biggest common factor number .

Step-1: Prime Factorization of 85729

Prime factors of 85729 are 7, 37, 331. Prime factorization of 85729 in exponential form is:

85729 = 7¹ × 37¹ × 331¹

Step-2: Prime Factorization of 85744

Prime factors of 85744 are 2, 23, 233. Prime factorization of 85744 in exponential form is:

85744 = 2⁴ × 23¹ × 233¹

Step-3: Factors of 85729

List of positive integer factors of 85729 that divides 85729 without a remainder.

1, 7, 37, 259, 331, 2317, 12247

Step-4: Factors of 85744

List of positive integer factors of 85744 that divides 85729 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 233, 368, 466, 932, 1864, 3728, 5359, 10718, 21436, 42872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85729 and 85744. The biggest common factor number is the GCF number.
So the greatest common factor 85729 and 85744 is 1.

Also check out the Least Common Multiple of 85729 and 85744