What is the Greatest Common Factor of 99335 and 99340?

Greatest common factor (GCF) of 99335 and 99340 is 5.

GCF(99335,99340) = 5

We will now calculate the prime factors of 99335 and 99340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99335 and 99340.

How to find the GCF of 99335 and 99340?

We will first find the prime factorization of 99335 and 99340. After we will calculate the factors of 99335 and 99340 and find the biggest common factor number .

Step-1: Prime Factorization of 99335

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

99335 = 5¹ × 19867¹

Step-2: Prime Factorization of 99340

Prime factors of 99340 are 2, 5, 4967. Prime factorization of 99340 in exponential form is:

99340 = 2² × 5¹ × 4967¹

Step-3: Factors of 99335

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

1, 5, 19867

Step-4: Factors of 99340

List of positive integer factors of 99340 that divides 99335 without a remainder.

1, 2, 4, 5, 10, 20, 4967, 9934, 19868, 24835, 49670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99335 and 99340. The biggest common factor number is the GCF number.
So the greatest common factor 99335 and 99340 is 5.

Also check out the Least Common Multiple of 99335 and 99340