What is the Greatest Common Factor of 99465 and 99480?

Greatest common factor (GCF) of 99465 and 99480 is 15.

GCF(99465,99480) = 15

We will now calculate the prime factors of 99465 and 99480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99465 and 99480.

How to find the GCF of 99465 and 99480?

We will first find the prime factorization of 99465 and 99480. After we will calculate the factors of 99465 and 99480 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 99480

Prime factors of 99480 are 2, 3, 5, 829. Prime factorization of 99480 in exponential form is:

99480 = 2³ × 3¹ × 5¹ × 829¹

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 99480

List of positive integer factors of 99480 that divides 99465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 829, 1658, 2487, 3316, 4145, 4974, 6632, 8290, 9948, 12435, 16580, 19896, 24870, 33160, 49740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99465 and 99480. The biggest common factor number is the GCF number.
So the greatest common factor 99465 and 99480 is 15.

Also check out the Least Common Multiple of 99465 and 99480