What is the Greatest Common Factor of 91825 and 91845?

Greatest common factor (GCF) of 91825 and 91845 is 5.

GCF(91825,91845) = 5

We will now calculate the prime factors of 91825 and 91845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91825 and 91845.

How to find the GCF of 91825 and 91845?

We will first find the prime factorization of 91825 and 91845. After we will calculate the factors of 91825 and 91845 and find the biggest common factor number .

Step-1: Prime Factorization of 91825

Prime factors of 91825 are 5, 3673. Prime factorization of 91825 in exponential form is:

91825 = 5² × 3673¹

Step-2: 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-3: Factors of 91825

List of positive integer factors of 91825 that divides 91825 without a remainder.

1, 5, 25, 3673, 18365

Step-4: Factors of 91845

List of positive integer factors of 91845 that divides 91825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91825 and 91845. The biggest common factor number is the GCF number.
So the greatest common factor 91825 and 91845 is 5.

Also check out the Least Common Multiple of 91825 and 91845