What is the Greatest Common Factor of 99090 and 99100?

Greatest common factor (GCF) of 99090 and 99100 is 10.

GCF(99090,99100) = 10

We will now calculate the prime factors of 99090 and 99100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99090 and 99100.

How to find the GCF of 99090 and 99100?

We will first find the prime factorization of 99090 and 99100. After we will calculate the factors of 99090 and 99100 and find the biggest common factor number .

Step-1: Prime Factorization of 99090

Prime factors of 99090 are 2, 3, 5, 367. Prime factorization of 99090 in exponential form is:

99090 = 2¹ × 3³ × 5¹ × 367¹

Step-2: Prime Factorization of 99100

Prime factors of 99100 are 2, 5, 991. Prime factorization of 99100 in exponential form is:

99100 = 2² × 5² × 991¹

Step-3: Factors of 99090

List of positive integer factors of 99090 that divides 99090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 367, 734, 1101, 1835, 2202, 3303, 3670, 5505, 6606, 9909, 11010, 16515, 19818, 33030, 49545

Step-4: Factors of 99100

List of positive integer factors of 99100 that divides 99090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 991, 1982, 3964, 4955, 9910, 19820, 24775, 49550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99090 and 99100. The biggest common factor number is the GCF number.
So the greatest common factor 99090 and 99100 is 10.

Also check out the Least Common Multiple of 99090 and 99100