What is the Greatest Common Factor of 99465 and 99483?

Greatest common factor (GCF) of 99465 and 99483 is 3.

GCF(99465,99483) = 3

We will now calculate the prime factors of 99465 and 99483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99465 and 99483.

How to find the GCF of 99465 and 99483?

We will first find the prime factorization of 99465 and 99483. After we will calculate the factors of 99465 and 99483 and find the biggest common factor number .

Step-1: Prime Factorization of 99465

Prime factors of 99465 are 3, 5, 19, 349. Prime factorization of 99465 in exponential form is:

99465 = 3¹ × 5¹ × 19¹ × 349¹

Step-2: Prime Factorization of 99483

Prime factors of 99483 are 3, 33161. Prime factorization of 99483 in exponential form is:

99483 = 3¹ × 33161¹

Step-3: Factors of 99465

List of positive integer factors of 99465 that divides 99465 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 349, 1047, 1745, 5235, 6631, 19893, 33155

Step-4: Factors of 99483

List of positive integer factors of 99483 that divides 99465 without a remainder.

1, 3, 33161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99465 and 99483. The biggest common factor number is the GCF number.
So the greatest common factor 99465 and 99483 is 3.

Also check out the Least Common Multiple of 99465 and 99483