What is the Greatest Common Factor of 91665 and 91680?

Greatest common factor (GCF) of 91665 and 91680 is 15.

GCF(91665,91680) = 15

We will now calculate the prime factors of 91665 and 91680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91665 and 91680.

How to find the GCF of 91665 and 91680?

We will first find the prime factorization of 91665 and 91680. After we will calculate the factors of 91665 and 91680 and find the biggest common factor number .

Step-1: Prime Factorization of 91665

Prime factors of 91665 are 3, 5, 7, 97. Prime factorization of 91665 in exponential form is:

91665 = 3³ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 91680

Prime factors of 91680 are 2, 3, 5, 191. Prime factorization of 91680 in exponential form is:

91680 = 2⁵ × 3¹ × 5¹ × 191¹

Step-3: Factors of 91665

List of positive integer factors of 91665 that divides 91665 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 97, 105, 135, 189, 291, 315, 485, 679, 873, 945, 1455, 2037, 2619, 3395, 4365, 6111, 10185, 13095, 18333, 30555

Step-4: Factors of 91680

List of positive integer factors of 91680 that divides 91665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 191, 240, 382, 480, 573, 764, 955, 1146, 1528, 1910, 2292, 2865, 3056, 3820, 4584, 5730, 6112, 7640, 9168, 11460, 15280, 18336, 22920, 30560, 45840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91665 and 91680. The biggest common factor number is the GCF number.
So the greatest common factor 91665 and 91680 is 15.

Also check out the Least Common Multiple of 91665 and 91680