What is the Greatest Common Factor of 91525 and 91540?

Greatest common factor (GCF) of 91525 and 91540 is 5.

GCF(91525,91540) = 5

We will now calculate the prime factors of 91525 and 91540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91525 and 91540.

How to find the GCF of 91525 and 91540?

We will first find the prime factorization of 91525 and 91540. After we will calculate the factors of 91525 and 91540 and find the biggest common factor number .

Step-1: Prime Factorization of 91525

Prime factors of 91525 are 5, 7, 523. Prime factorization of 91525 in exponential form is:

91525 = 5² × 7¹ × 523¹

Step-2: Prime Factorization of 91540

Prime factors of 91540 are 2, 5, 23, 199. Prime factorization of 91540 in exponential form is:

91540 = 2² × 5¹ × 23¹ × 199¹

Step-3: Factors of 91525

List of positive integer factors of 91525 that divides 91525 without a remainder.

1, 5, 7, 25, 35, 175, 523, 2615, 3661, 13075, 18305

Step-4: Factors of 91540

List of positive integer factors of 91540 that divides 91525 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 199, 230, 398, 460, 796, 995, 1990, 3980, 4577, 9154, 18308, 22885, 45770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91525 and 91540. The biggest common factor number is the GCF number.
So the greatest common factor 91525 and 91540 is 5.

Also check out the Least Common Multiple of 91525 and 91540