What is the Greatest Common Factor of 91525 and 91535?

Greatest common factor (GCF) of 91525 and 91535 is 5.

GCF(91525,91535) = 5

We will now calculate the prime factors of 91525 and 91535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91525 and 91535.

How to find the GCF of 91525 and 91535?

We will first find the prime factorization of 91525 and 91535. After we will calculate the factors of 91525 and 91535 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 91535

Prime factors of 91535 are 5, 18307. Prime factorization of 91535 in exponential form is:

91535 = 5¹ × 18307¹

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 91535

List of positive integer factors of 91535 that divides 91525 without a remainder.

1, 5, 18307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91525 and 91535. The biggest common factor number is the GCF number.
So the greatest common factor 91525 and 91535 is 5.

Also check out the Least Common Multiple of 91525 and 91535