What is the Greatest Common Factor of 85728 and 85739?

Greatest common factor (GCF) of 85728 and 85739 is 1.

GCF(85728,85739) = 1

We will now calculate the prime factors of 85728 and 85739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85728 and 85739.

How to find the GCF of 85728 and 85739?

We will first find the prime factorization of 85728 and 85739. After we will calculate the factors of 85728 and 85739 and find the biggest common factor number .

Step-1: Prime Factorization of 85728

Prime factors of 85728 are 2, 3, 19, 47. Prime factorization of 85728 in exponential form is:

85728 = 2⁵ × 3¹ × 19¹ × 47¹

Step-2: Prime Factorization of 85739

Prime factors of 85739 are 83, 1033. Prime factorization of 85739 in exponential form is:

85739 = 83¹ × 1033¹

Step-3: Factors of 85728

List of positive integer factors of 85728 that divides 85728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 47, 48, 57, 76, 94, 96, 114, 141, 152, 188, 228, 282, 304, 376, 456, 564, 608, 752, 893, 912, 1128, 1504, 1786, 1824, 2256, 2679, 3572, 4512, 5358, 7144, 10716, 14288, 21432, 28576, 42864

Step-4: Factors of 85739

List of positive integer factors of 85739 that divides 85728 without a remainder.

1, 83, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85728 and 85739. The biggest common factor number is the GCF number.
So the greatest common factor 85728 and 85739 is 1.

Also check out the Least Common Multiple of 85728 and 85739