What is the Greatest Common Factor of 99567 and 99575?

Greatest common factor (GCF) of 99567 and 99575 is 1.

GCF(99567,99575) = 1

We will now calculate the prime factors of 99567 and 99575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99567 and 99575.

How to find the GCF of 99567 and 99575?

We will first find the prime factorization of 99567 and 99575. After we will calculate the factors of 99567 and 99575 and find the biggest common factor number .

Step-1: Prime Factorization of 99567

Prime factors of 99567 are 3, 13, 23, 37. Prime factorization of 99567 in exponential form is:

99567 = 3² × 13¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 99567

List of positive integer factors of 99567 that divides 99567 without a remainder.

1, 3, 9, 13, 23, 37, 39, 69, 111, 117, 207, 299, 333, 481, 851, 897, 1443, 2553, 2691, 4329, 7659, 11063, 33189

Step-4: Factors of 99575

List of positive integer factors of 99575 that divides 99567 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99567 and 99575. The biggest common factor number is the GCF number.
So the greatest common factor 99567 and 99575 is 1.

Also check out the Least Common Multiple of 99567 and 99575