What is the Greatest Common Factor of 91335 and 91344?

Greatest common factor (GCF) of 91335 and 91344 is 3.

GCF(91335,91344) = 3

We will now calculate the prime factors of 91335 and 91344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91335 and 91344.

How to find the GCF of 91335 and 91344?

We will first find the prime factorization of 91335 and 91344. After we will calculate the factors of 91335 and 91344 and find the biggest common factor number .

Step-1: Prime Factorization of 91335

Prime factors of 91335 are 3, 5, 6089. Prime factorization of 91335 in exponential form is:

91335 = 3¹ × 5¹ × 6089¹

Step-2: 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-3: Factors of 91335

List of positive integer factors of 91335 that divides 91335 without a remainder.

1, 3, 5, 15, 6089, 18267, 30445

Step-4: Factors of 91344

List of positive integer factors of 91344 that divides 91335 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91335 and 91344. The biggest common factor number is the GCF number.
So the greatest common factor 91335 and 91344 is 3.

Also check out the Least Common Multiple of 91335 and 91344