What is the Greatest Common Factor of 91375 and 91392?

Greatest common factor (GCF) of 91375 and 91392 is 17.

GCF(91375,91392) = 17

We will now calculate the prime factors of 91375 and 91392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91375 and 91392.

How to find the GCF of 91375 and 91392?

We will first find the prime factorization of 91375 and 91392. After we will calculate the factors of 91375 and 91392 and find the biggest common factor number .

Step-1: Prime Factorization of 91375

Prime factors of 91375 are 5, 17, 43. Prime factorization of 91375 in exponential form is:

91375 = 5³ × 17¹ × 43¹

Step-2: Prime Factorization of 91392

Prime factors of 91392 are 2, 3, 7, 17. Prime factorization of 91392 in exponential form is:

91392 = 2⁸ × 3¹ × 7¹ × 17¹

Step-3: Factors of 91375

List of positive integer factors of 91375 that divides 91375 without a remainder.

1, 5, 17, 25, 43, 85, 125, 215, 425, 731, 1075, 2125, 3655, 5375, 18275

Step-4: Factors of 91392

List of positive integer factors of 91392 that divides 91375 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 64, 68, 84, 96, 102, 112, 119, 128, 136, 168, 192, 204, 224, 238, 256, 272, 336, 357, 384, 408, 448, 476, 544, 672, 714, 768, 816, 896, 952, 1088, 1344, 1428, 1632, 1792, 1904, 2176, 2688, 2856, 3264, 3808, 4352, 5376, 5712, 6528, 7616, 11424, 13056, 15232, 22848, 30464, 45696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91375 and 91392. The biggest common factor number is the GCF number.
So the greatest common factor 91375 and 91392 is 17.

Also check out the Least Common Multiple of 91375 and 91392