What is the Greatest Common Factor of 91680 and 91690?

Greatest common factor (GCF) of 91680 and 91690 is 10.

GCF(91680,91690) = 10

We will now calculate the prime factors of 91680 and 91690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91680 and 91690.

How to find the GCF of 91680 and 91690?

We will first find the prime factorization of 91680 and 91690. After we will calculate the factors of 91680 and 91690 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 91690

Prime factors of 91690 are 2, 5, 53, 173. Prime factorization of 91690 in exponential form is:

91690 = 2¹ × 5¹ × 53¹ × 173¹

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 91690

List of positive integer factors of 91690 that divides 91680 without a remainder.

1, 2, 5, 10, 53, 106, 173, 265, 346, 530, 865, 1730, 9169, 18338, 45845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91680 and 91690. The biggest common factor number is the GCF number.
So the greatest common factor 91680 and 91690 is 10.

Also check out the Least Common Multiple of 91680 and 91690