What is the Greatest Common Factor of 99488 and 99507?

Greatest common factor (GCF) of 99488 and 99507 is 1.

GCF(99488,99507) = 1

We will now calculate the prime factors of 99488 and 99507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99488 and 99507.

How to find the GCF of 99488 and 99507?

We will first find the prime factorization of 99488 and 99507. After we will calculate the factors of 99488 and 99507 and find the biggest common factor number .

Step-1: Prime Factorization of 99488

Prime factors of 99488 are 2, 3109. Prime factorization of 99488 in exponential form is:

99488 = 2⁵ × 3109¹

Step-2: Prime Factorization of 99507

Prime factors of 99507 are 3, 41, 809. Prime factorization of 99507 in exponential form is:

99507 = 3¹ × 41¹ × 809¹

Step-3: Factors of 99488

List of positive integer factors of 99488 that divides 99488 without a remainder.

1, 2, 4, 8, 16, 32, 3109, 6218, 12436, 24872, 49744

Step-4: Factors of 99507

List of positive integer factors of 99507 that divides 99488 without a remainder.

1, 3, 41, 123, 809, 2427, 33169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99488 and 99507. The biggest common factor number is the GCF number.
So the greatest common factor 99488 and 99507 is 1.

Also check out the Least Common Multiple of 99488 and 99507