What is the Greatest Common Factor of 91845 and 91865?

Greatest common factor (GCF) of 91845 and 91865 is 5.

GCF(91845,91865) = 5

We will now calculate the prime factors of 91845 and 91865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91845 and 91865.

How to find the GCF of 91845 and 91865?

We will first find the prime factorization of 91845 and 91865. After we will calculate the factors of 91845 and 91865 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 91865

Prime factors of 91865 are 5, 19, 967. Prime factorization of 91865 in exponential form is:

91865 = 5¹ × 19¹ × 967¹

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 91865

List of positive integer factors of 91865 that divides 91845 without a remainder.

1, 5, 19, 95, 967, 4835, 18373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91845 and 91865. The biggest common factor number is the GCF number.
So the greatest common factor 91845 and 91865 is 5.

Also check out the Least Common Multiple of 91845 and 91865