What is the Greatest Common Factor of 99345 and 99355?

Greatest common factor (GCF) of 99345 and 99355 is 5.

GCF(99345,99355) = 5

We will now calculate the prime factors of 99345 and 99355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99345 and 99355.

How to find the GCF of 99345 and 99355?

We will first find the prime factorization of 99345 and 99355. After we will calculate the factors of 99345 and 99355 and find the biggest common factor number .

Step-1: Prime Factorization of 99345

Prime factors of 99345 are 3, 5, 37, 179. Prime factorization of 99345 in exponential form is:

99345 = 3¹ × 5¹ × 37¹ × 179¹

Step-2: Prime Factorization of 99355

Prime factors of 99355 are 5, 31, 641. Prime factorization of 99355 in exponential form is:

99355 = 5¹ × 31¹ × 641¹

Step-3: Factors of 99345

List of positive integer factors of 99345 that divides 99345 without a remainder.

1, 3, 5, 15, 37, 111, 179, 185, 537, 555, 895, 2685, 6623, 19869, 33115

Step-4: Factors of 99355

List of positive integer factors of 99355 that divides 99345 without a remainder.

1, 5, 31, 155, 641, 3205, 19871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99345 and 99355. The biggest common factor number is the GCF number.
So the greatest common factor 99345 and 99355 is 5.

Also check out the Least Common Multiple of 99345 and 99355