What is the Greatest Common Factor of 91845 and 91858?

Greatest common factor (GCF) of 91845 and 91858 is 13.

GCF(91845,91858) = 13

We will now calculate the prime factors of 91845 and 91858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91845 and 91858.

How to find the GCF of 91845 and 91858?

We will first find the prime factorization of 91845 and 91858. After we will calculate the factors of 91845 and 91858 and find the biggest common factor number .

Step-1: Prime Factorization of 91845

Prime factors of 91845 are 3, 5, 13, 157. Prime factorization of 91845 in exponential form is:

91845 = 3² × 5¹ × 13¹ × 157¹

Step-2: Prime Factorization of 91858

Prime factors of 91858 are 2, 13, 3533. Prime factorization of 91858 in exponential form is:

91858 = 2¹ × 13¹ × 3533¹

Step-3: Factors of 91845

List of positive integer factors of 91845 that divides 91845 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 157, 195, 471, 585, 785, 1413, 2041, 2355, 6123, 7065, 10205, 18369, 30615

Step-4: Factors of 91858

List of positive integer factors of 91858 that divides 91845 without a remainder.

1, 2, 13, 26, 3533, 7066, 45929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91845 and 91858. The biggest common factor number is the GCF number.
So the greatest common factor 91845 and 91858 is 13.

Also check out the Least Common Multiple of 91845 and 91858