What is the Greatest Common Factor of 90099 and 90105?

Greatest common factor (GCF) of 90099 and 90105 is 3.

GCF(90099,90105) = 3

We will now calculate the prime factors of 90099 and 90105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90099 and 90105.

How to find the GCF of 90099 and 90105?

We will first find the prime factorization of 90099 and 90105. After we will calculate the factors of 90099 and 90105 and find the biggest common factor number .

Step-1: Prime Factorization of 90099

Prime factors of 90099 are 3, 47, 71. Prime factorization of 90099 in exponential form is:

90099 = 3³ × 47¹ × 71¹

Step-2: Prime Factorization of 90105

Prime factors of 90105 are 3, 5, 6007. Prime factorization of 90105 in exponential form is:

90105 = 3¹ × 5¹ × 6007¹

Step-3: Factors of 90099

List of positive integer factors of 90099 that divides 90099 without a remainder.

1, 3, 9, 27, 47, 71, 141, 213, 423, 639, 1269, 1917, 3337, 10011, 30033

Step-4: Factors of 90105

List of positive integer factors of 90105 that divides 90099 without a remainder.

1, 3, 5, 15, 6007, 18021, 30035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90099 and 90105. The biggest common factor number is the GCF number.
So the greatest common factor 90099 and 90105 is 3.

Also check out the Least Common Multiple of 90099 and 90105