What is the Greatest Common Factor of 99575 and 99589?

Greatest common factor (GCF) of 99575 and 99589 is 7.

GCF(99575,99589) = 7

We will now calculate the prime factors of 99575 and 99589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99575 and 99589.

How to find the GCF of 99575 and 99589?

We will first find the prime factorization of 99575 and 99589. After we will calculate the factors of 99575 and 99589 and find the biggest common factor number .

Step-1: Prime Factorization of 99575

Prime factors of 99575 are 5, 7, 569. Prime factorization of 99575 in exponential form is:

99575 = 5² × 7¹ × 569¹

Step-2: Prime Factorization of 99589

Prime factors of 99589 are 7, 41, 347. Prime factorization of 99589 in exponential form is:

99589 = 7¹ × 41¹ × 347¹

Step-3: Factors of 99575

List of positive integer factors of 99575 that divides 99575 without a remainder.

1, 5, 7, 25, 35, 175, 569, 2845, 3983, 14225, 19915

Step-4: Factors of 99589

List of positive integer factors of 99589 that divides 99575 without a remainder.

1, 7, 41, 287, 347, 2429, 14227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99575 and 99589. The biggest common factor number is the GCF number.
So the greatest common factor 99575 and 99589 is 7.

Also check out the Least Common Multiple of 99575 and 99589