What is the Greatest Common Factor of 91680 and 91695?

Greatest common factor (GCF) of 91680 and 91695 is 15.

GCF(91680,91695) = 15

We will now calculate the prime factors of 91680 and 91695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91680 and 91695.

How to find the GCF of 91680 and 91695?

We will first find the prime factorization of 91680 and 91695. After we will calculate the factors of 91680 and 91695 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91695

Prime factors of 91695 are 3, 5, 6113. Prime factorization of 91695 in exponential form is:

91695 = 3¹ × 5¹ × 6113¹

Step-3: Factors of 91680

List of positive integer factors of 91680 that divides 91680 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

Step-4: Factors of 91695

List of positive integer factors of 91695 that divides 91680 without a remainder.

1, 3, 5, 15, 6113, 18339, 30565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91680 and 91695. The biggest common factor number is the GCF number.
So the greatest common factor 91680 and 91695 is 15.

Also check out the Least Common Multiple of 91680 and 91695