What is the Greatest Common Factor of 99430 and 99450?

Greatest common factor (GCF) of 99430 and 99450 is 10.

GCF(99430,99450) = 10

We will now calculate the prime factors of 99430 and 99450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99430 and 99450.

How to find the GCF of 99430 and 99450?

We will first find the prime factorization of 99430 and 99450. After we will calculate the factors of 99430 and 99450 and find the biggest common factor number .

Step-1: Prime Factorization of 99430

Prime factors of 99430 are 2, 5, 61, 163. Prime factorization of 99430 in exponential form is:

99430 = 2¹ × 5¹ × 61¹ × 163¹

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 99430

List of positive integer factors of 99430 that divides 99430 without a remainder.

1, 2, 5, 10, 61, 122, 163, 305, 326, 610, 815, 1630, 9943, 19886, 49715

Step-4: Factors of 99450

List of positive integer factors of 99450 that divides 99430 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 99430 and 99450. The biggest common factor number is the GCF number.
So the greatest common factor 99430 and 99450 is 10.

Also check out the Least Common Multiple of 99430 and 99450