What is the Greatest Common Factor of 91857 and 91872?

Greatest common factor (GCF) of 91857 and 91872 is 3.

GCF(91857,91872) = 3

We will now calculate the prime factors of 91857 and 91872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91857 and 91872.

How to find the GCF of 91857 and 91872?

We will first find the prime factorization of 91857 and 91872. After we will calculate the factors of 91857 and 91872 and find the biggest common factor number .

Step-1: Prime Factorization of 91857

Prime factors of 91857 are 3, 67, 457. Prime factorization of 91857 in exponential form is:

91857 = 3¹ × 67¹ × 457¹

Step-2: Prime Factorization of 91872

Prime factors of 91872 are 2, 3, 11, 29. Prime factorization of 91872 in exponential form is:

91872 = 2⁵ × 3² × 11¹ × 29¹

Step-3: Factors of 91857

List of positive integer factors of 91857 that divides 91857 without a remainder.

1, 3, 67, 201, 457, 1371, 30619

Step-4: Factors of 91872

List of positive integer factors of 91872 that divides 91857 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 29, 32, 33, 36, 44, 48, 58, 66, 72, 87, 88, 96, 99, 116, 132, 144, 174, 176, 198, 232, 261, 264, 288, 319, 348, 352, 396, 464, 522, 528, 638, 696, 792, 928, 957, 1044, 1056, 1276, 1392, 1584, 1914, 2088, 2552, 2784, 2871, 3168, 3828, 4176, 5104, 5742, 7656, 8352, 10208, 11484, 15312, 22968, 30624, 45936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91857 and 91872. The biggest common factor number is the GCF number.
So the greatest common factor 91857 and 91872 is 3.

Also check out the Least Common Multiple of 91857 and 91872