What is the Greatest Common Factor of 91344 and 91350?

Greatest common factor (GCF) of 91344 and 91350 is 6.

GCF(91344,91350) = 6

We will now calculate the prime factors of 91344 and 91350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91344 and 91350.

How to find the GCF of 91344 and 91350?

We will first find the prime factorization of 91344 and 91350. After we will calculate the factors of 91344 and 91350 and find the biggest common factor number .

Step-1: Prime Factorization of 91344

Prime factors of 91344 are 2, 3, 11, 173. Prime factorization of 91344 in exponential form is:

91344 = 2⁴ × 3¹ × 11¹ × 173¹

Step-2: Prime Factorization of 91350

Prime factors of 91350 are 2, 3, 5, 7, 29. Prime factorization of 91350 in exponential form is:

91350 = 2¹ × 3² × 5² × 7¹ × 29¹

Step-3: Factors of 91344

List of positive integer factors of 91344 that divides 91344 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 173, 176, 264, 346, 519, 528, 692, 1038, 1384, 1903, 2076, 2768, 3806, 4152, 5709, 7612, 8304, 11418, 15224, 22836, 30448, 45672

Step-4: Factors of 91350

List of positive integer factors of 91350 that divides 91344 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 29, 30, 35, 42, 45, 50, 58, 63, 70, 75, 87, 90, 105, 126, 145, 150, 174, 175, 203, 210, 225, 261, 290, 315, 350, 406, 435, 450, 522, 525, 609, 630, 725, 870, 1015, 1050, 1218, 1305, 1450, 1575, 1827, 2030, 2175, 2610, 3045, 3150, 3654, 4350, 5075, 6090, 6525, 9135, 10150, 13050, 15225, 18270, 30450, 45675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91344 and 91350. The biggest common factor number is the GCF number.
So the greatest common factor 91344 and 91350 is 6.

Also check out the Least Common Multiple of 91344 and 91350