What is the Greatest Common Factor of 91485 and 91505?

Greatest common factor (GCF) of 91485 and 91505 is 5.

GCF(91485,91505) = 5

We will now calculate the prime factors of 91485 and 91505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91485 and 91505.

How to find the GCF of 91485 and 91505?

We will first find the prime factorization of 91485 and 91505. After we will calculate the factors of 91485 and 91505 and find the biggest common factor number .

Step-1: Prime Factorization of 91485

Prime factors of 91485 are 3, 5, 19, 107. Prime factorization of 91485 in exponential form is:

91485 = 3² × 5¹ × 19¹ × 107¹

Step-2: Prime Factorization of 91505

Prime factors of 91505 are 5, 18301. Prime factorization of 91505 in exponential form is:

91505 = 5¹ × 18301¹

Step-3: Factors of 91485

List of positive integer factors of 91485 that divides 91485 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 107, 171, 285, 321, 535, 855, 963, 1605, 2033, 4815, 6099, 10165, 18297, 30495

Step-4: Factors of 91505

List of positive integer factors of 91505 that divides 91485 without a remainder.

1, 5, 18301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91485 and 91505. The biggest common factor number is the GCF number.
So the greatest common factor 91485 and 91505 is 5.

Also check out the Least Common Multiple of 91485 and 91505