What is the Greatest Common Factor of 99450 and 99465?

Greatest common factor (GCF) of 99450 and 99465 is 15.

GCF(99450,99465) = 15

We will now calculate the prime factors of 99450 and 99465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99450 and 99465.

How to find the GCF of 99450 and 99465?

We will first find the prime factorization of 99450 and 99465. After we will calculate the factors of 99450 and 99465 and find the biggest common factor number .

Step-1: Prime Factorization of 99450

Prime factors of 99450 are 2, 3, 5, 13, 17. Prime factorization of 99450 in exponential form is:

99450 = 2¹ × 3² × 5² × 13¹ × 17¹

Step-2: 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-3: Factors of 99450

List of positive integer factors of 99450 that divides 99450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 25, 26, 30, 34, 39, 45, 50, 51, 65, 75, 78, 85, 90, 102, 117, 130, 150, 153, 170, 195, 221, 225, 234, 255, 306, 325, 390, 425, 442, 450, 510, 585, 650, 663, 765, 850, 975, 1105, 1170, 1275, 1326, 1530, 1950, 1989, 2210, 2550, 2925, 3315, 3825, 3978, 5525, 5850, 6630, 7650, 9945, 11050, 16575, 19890, 33150, 49725

Step-4: Factors of 99465

List of positive integer factors of 99465 that divides 99450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99450 and 99465. The biggest common factor number is the GCF number.
So the greatest common factor 99450 and 99465 is 15.

Also check out the Least Common Multiple of 99450 and 99465