What is the Greatest Common Factor of 91872 and 91888?

Greatest common factor (GCF) of 91872 and 91888 is 16.

GCF(91872,91888) = 16

We will now calculate the prime factors of 91872 and 91888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91872 and 91888.

How to find the GCF of 91872 and 91888?

We will first find the prime factorization of 91872 and 91888. After we will calculate the factors of 91872 and 91888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91888

Prime factors of 91888 are 2, 5743. Prime factorization of 91888 in exponential form is:

91888 = 2⁴ × 5743¹

Step-3: Factors of 91872

List of positive integer factors of 91872 that divides 91872 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

Step-4: Factors of 91888

List of positive integer factors of 91888 that divides 91872 without a remainder.

1, 2, 4, 8, 16, 5743, 11486, 22972, 45944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91872 and 91888. The biggest common factor number is the GCF number.
So the greatest common factor 91872 and 91888 is 16.

Also check out the Least Common Multiple of 91872 and 91888