What is the Greatest Common Factor of 99325 and 99335?

Greatest common factor (GCF) of 99325 and 99335 is 5.

GCF(99325,99335) = 5

We will now calculate the prime factors of 99325 and 99335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99325 and 99335.

How to find the GCF of 99325 and 99335?

We will first find the prime factorization of 99325 and 99335. After we will calculate the factors of 99325 and 99335 and find the biggest common factor number .

Step-1: Prime Factorization of 99325

Prime factors of 99325 are 5, 29, 137. Prime factorization of 99325 in exponential form is:

99325 = 5² × 29¹ × 137¹

Step-2: Prime Factorization of 99335

Prime factors of 99335 are 5, 19867. Prime factorization of 99335 in exponential form is:

99335 = 5¹ × 19867¹

Step-3: Factors of 99325

List of positive integer factors of 99325 that divides 99325 without a remainder.

1, 5, 25, 29, 137, 145, 685, 725, 3425, 3973, 19865

Step-4: Factors of 99335

List of positive integer factors of 99335 that divides 99325 without a remainder.

1, 5, 19867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99325 and 99335. The biggest common factor number is the GCF number.
So the greatest common factor 99325 and 99335 is 5.

Also check out the Least Common Multiple of 99325 and 99335