What is the Greatest Common Factor of 99435 and 99450?

Greatest common factor (GCF) of 99435 and 99450 is 15.

GCF(99435,99450) = 15

We will now calculate the prime factors of 99435 and 99450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99435 and 99450.

How to find the GCF of 99435 and 99450?

We will first find the prime factorization of 99435 and 99450. After we will calculate the factors of 99435 and 99450 and find the biggest common factor number .

Step-1: Prime Factorization of 99435

Prime factors of 99435 are 3, 5, 7, 947. Prime factorization of 99435 in exponential form is:

99435 = 3¹ × 5¹ × 7¹ × 947¹

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 99435

List of positive integer factors of 99435 that divides 99435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 947, 2841, 4735, 6629, 14205, 19887, 33145

Step-4: Factors of 99450

List of positive integer factors of 99450 that divides 99435 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 99435 and 99450. The biggest common factor number is the GCF number.
So the greatest common factor 99435 and 99450 is 15.

Also check out the Least Common Multiple of 99435 and 99450