What is the Greatest Common Factor of 91145 and 91160?

Greatest common factor (GCF) of 91145 and 91160 is 5.

GCF(91145,91160) = 5

We will now calculate the prime factors of 91145 and 91160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91145 and 91160.

How to find the GCF of 91145 and 91160?

We will first find the prime factorization of 91145 and 91160. After we will calculate the factors of 91145 and 91160 and find the biggest common factor number .

Step-1: Prime Factorization of 91145

Prime factors of 91145 are 5, 18229. Prime factorization of 91145 in exponential form is:

91145 = 5¹ × 18229¹

Step-2: Prime Factorization of 91160

Prime factors of 91160 are 2, 5, 43, 53. Prime factorization of 91160 in exponential form is:

91160 = 2³ × 5¹ × 43¹ × 53¹

Step-3: Factors of 91145

List of positive integer factors of 91145 that divides 91145 without a remainder.

1, 5, 18229

Step-4: Factors of 91160

List of positive integer factors of 91160 that divides 91145 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 53, 86, 106, 172, 212, 215, 265, 344, 424, 430, 530, 860, 1060, 1720, 2120, 2279, 4558, 9116, 11395, 18232, 22790, 45580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91145 and 91160. The biggest common factor number is the GCF number.
So the greatest common factor 91145 and 91160 is 5.

Also check out the Least Common Multiple of 91145 and 91160