What is the Greatest Common Factor of 91680 and 91696?

Greatest common factor (GCF) of 91680 and 91696 is 16.

GCF(91680,91696) = 16

We will now calculate the prime factors of 91680 and 91696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91680 and 91696.

How to find the GCF of 91680 and 91696?

We will first find the prime factorization of 91680 and 91696. After we will calculate the factors of 91680 and 91696 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 91696

Prime factors of 91696 are 2, 11, 521. Prime factorization of 91696 in exponential form is:

91696 = 2⁴ × 11¹ × 521¹

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 91696

List of positive integer factors of 91696 that divides 91680 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 521, 1042, 2084, 4168, 5731, 8336, 11462, 22924, 45848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91680 and 91696. The biggest common factor number is the GCF number.
So the greatest common factor 91680 and 91696 is 16.

Also check out the Least Common Multiple of 91680 and 91696