What is the Greatest Common Factor of 91770 and 91785?

Greatest common factor (GCF) of 91770 and 91785 is 15.

GCF(91770,91785) = 15

We will now calculate the prime factors of 91770 and 91785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91770 and 91785.

How to find the GCF of 91770 and 91785?

We will first find the prime factorization of 91770 and 91785. After we will calculate the factors of 91770 and 91785 and find the biggest common factor number .

Step-1: Prime Factorization of 91770

Prime factors of 91770 are 2, 3, 5, 7, 19, 23. Prime factorization of 91770 in exponential form is:

91770 = 2¹ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 91770

List of positive integer factors of 91770 that divides 91770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 23, 30, 35, 38, 42, 46, 57, 69, 70, 95, 105, 114, 115, 133, 138, 161, 190, 210, 230, 266, 285, 322, 345, 399, 437, 483, 570, 665, 690, 798, 805, 874, 966, 1311, 1330, 1610, 1995, 2185, 2415, 2622, 3059, 3990, 4370, 4830, 6118, 6555, 9177, 13110, 15295, 18354, 30590, 45885

Step-4: Factors of 91785

List of positive integer factors of 91785 that divides 91770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91770 and 91785. The biggest common factor number is the GCF number.
So the greatest common factor 91770 and 91785 is 15.

Also check out the Least Common Multiple of 91770 and 91785