What is the Greatest Common Factor of 99441 and 99450?

Greatest common factor (GCF) of 99441 and 99450 is 9.

GCF(99441,99450) = 9

We will now calculate the prime factors of 99441 and 99450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99441 and 99450.

How to find the GCF of 99441 and 99450?

We will first find the prime factorization of 99441 and 99450. After we will calculate the factors of 99441 and 99450 and find the biggest common factor number .

Step-1: Prime Factorization of 99441

Prime factors of 99441 are 3, 29, 127. Prime factorization of 99441 in exponential form is:

99441 = 3³ × 29¹ × 127¹

Step-2: 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-3: Factors of 99441

List of positive integer factors of 99441 that divides 99441 without a remainder.

1, 3, 9, 27, 29, 87, 127, 261, 381, 783, 1143, 3429, 3683, 11049, 33147

Step-4: Factors of 99450

List of positive integer factors of 99450 that divides 99441 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99441 and 99450. The biggest common factor number is the GCF number.
So the greatest common factor 99441 and 99450 is 9.

Also check out the Least Common Multiple of 99441 and 99450