What is the Greatest Common Factor of 99575 and 99585?

Greatest common factor (GCF) of 99575 and 99585 is 5.

GCF(99575,99585) = 5

We will now calculate the prime factors of 99575 and 99585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99575 and 99585.

How to find the GCF of 99575 and 99585?

We will first find the prime factorization of 99575 and 99585. After we will calculate the factors of 99575 and 99585 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 99585

Prime factors of 99585 are 3, 5, 2213. Prime factorization of 99585 in exponential form is:

99585 = 3² × 5¹ × 2213¹

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 99585

List of positive integer factors of 99585 that divides 99575 without a remainder.

1, 3, 5, 9, 15, 45, 2213, 6639, 11065, 19917, 33195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99575 and 99585. The biggest common factor number is the GCF number.
So the greatest common factor 99575 and 99585 is 5.

Also check out the Least Common Multiple of 99575 and 99585