What is the Greatest Common Factor of 91845 and 91854?

Greatest common factor (GCF) of 91845 and 91854 is 9.

GCF(91845,91854) = 9

We will now calculate the prime factors of 91845 and 91854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91845 and 91854.

How to find the GCF of 91845 and 91854?

We will first find the prime factorization of 91845 and 91854. After we will calculate the factors of 91845 and 91854 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 91854

Prime factors of 91854 are 2, 3, 7. Prime factorization of 91854 in exponential form is:

91854 = 2¹ × 3⁸ × 7¹

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 91854

List of positive integer factors of 91854 that divides 91845 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 729, 1134, 1458, 1701, 2187, 3402, 4374, 5103, 6561, 10206, 13122, 15309, 30618, 45927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91845 and 91854. The biggest common factor number is the GCF number.
So the greatest common factor 91845 and 91854 is 9.

Also check out the Least Common Multiple of 91845 and 91854