What is the Greatest Common Factor of 99575 and 99582?

Greatest common factor (GCF) of 99575 and 99582 is 7.

GCF(99575,99582) = 7

We will now calculate the prime factors of 99575 and 99582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99575 and 99582.

How to find the GCF of 99575 and 99582?

We will first find the prime factorization of 99575 and 99582. After we will calculate the factors of 99575 and 99582 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 99582

Prime factors of 99582 are 2, 3, 7, 2371. Prime factorization of 99582 in exponential form is:

99582 = 2¹ × 3¹ × 7¹ × 2371¹

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 99582

List of positive integer factors of 99582 that divides 99575 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2371, 4742, 7113, 14226, 16597, 33194, 49791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99575 and 99582. The biggest common factor number is the GCF number.
So the greatest common factor 99575 and 99582 is 7.

Also check out the Least Common Multiple of 99575 and 99582