What is the Greatest Common Factor of 91785 and 91805?

Greatest common factor (GCF) of 91785 and 91805 is 5.

GCF(91785,91805) = 5

We will now calculate the prime factors of 91785 and 91805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91785 and 91805.

How to find the GCF of 91785 and 91805?

We will first find the prime factorization of 91785 and 91805. After we will calculate the factors of 91785 and 91805 and find the biggest common factor number .

Step-1: Prime Factorization of 91785

Prime factors of 91785 are 3, 5, 29, 211. Prime factorization of 91785 in exponential form is:

91785 = 3¹ × 5¹ × 29¹ × 211¹

Step-2: Prime Factorization of 91805

Prime factors of 91805 are 5, 7, 43, 61. Prime factorization of 91805 in exponential form is:

91805 = 5¹ × 7¹ × 43¹ × 61¹

Step-3: Factors of 91785

List of positive integer factors of 91785 that divides 91785 without a remainder.

1, 3, 5, 15, 29, 87, 145, 211, 435, 633, 1055, 3165, 6119, 18357, 30595

Step-4: Factors of 91805

List of positive integer factors of 91805 that divides 91785 without a remainder.

1, 5, 7, 35, 43, 61, 215, 301, 305, 427, 1505, 2135, 2623, 13115, 18361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91785 and 91805. The biggest common factor number is the GCF number.
So the greatest common factor 91785 and 91805 is 5.

Also check out the Least Common Multiple of 91785 and 91805