What is the Greatest Common Factor of 85728 and 85736?

Greatest common factor (GCF) of 85728 and 85736 is 8.

GCF(85728,85736) = 8

We will now calculate the prime factors of 85728 and 85736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85728 and 85736.

How to find the GCF of 85728 and 85736?

We will first find the prime factorization of 85728 and 85736. After we will calculate the factors of 85728 and 85736 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 85736

Prime factors of 85736 are 2, 7, 1531. Prime factorization of 85736 in exponential form is:

85736 = 2³ × 7¹ × 1531¹

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 85736

List of positive integer factors of 85736 that divides 85728 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1531, 3062, 6124, 10717, 12248, 21434, 42868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85728 and 85736. The biggest common factor number is the GCF number.
So the greatest common factor 85728 and 85736 is 8.

Also check out the Least Common Multiple of 85728 and 85736