What is the Greatest Common Factor of 91392 and 91409?

Greatest common factor (GCF) of 91392 and 91409 is 17.

GCF(91392,91409) = 17

We will now calculate the prime factors of 91392 and 91409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91392 and 91409.

How to find the GCF of 91392 and 91409?

We will first find the prime factorization of 91392 and 91409. After we will calculate the factors of 91392 and 91409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91409

Prime factors of 91409 are 17, 19, 283. Prime factorization of 91409 in exponential form is:

91409 = 17¹ × 19¹ × 283¹

Step-3: Factors of 91392

List of positive integer factors of 91392 that divides 91392 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

Step-4: Factors of 91409

List of positive integer factors of 91409 that divides 91392 without a remainder.

1, 17, 19, 283, 323, 4811, 5377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91392 and 91409. The biggest common factor number is the GCF number.
So the greatest common factor 91392 and 91409 is 17.

Also check out the Least Common Multiple of 91392 and 91409