What is the Greatest Common Factor of 84099 and 84105?

Greatest common factor (GCF) of 84099 and 84105 is 3.

GCF(84099,84105) = 3

We will now calculate the prime factors of 84099 and 84105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84099 and 84105.

How to find the GCF of 84099 and 84105?

We will first find the prime factorization of 84099 and 84105. After we will calculate the factors of 84099 and 84105 and find the biggest common factor number .

Step-1: Prime Factorization of 84099

Prime factors of 84099 are 3, 17, 97. Prime factorization of 84099 in exponential form is:

84099 = 3¹ × 17² × 97¹

Step-2: Prime Factorization of 84105

Prime factors of 84105 are 3, 5, 7, 89. Prime factorization of 84105 in exponential form is:

84105 = 3³ × 5¹ × 7¹ × 89¹

Step-3: Factors of 84099

List of positive integer factors of 84099 that divides 84099 without a remainder.

1, 3, 17, 51, 97, 289, 291, 867, 1649, 4947, 28033

Step-4: Factors of 84105

List of positive integer factors of 84105 that divides 84099 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 89, 105, 135, 189, 267, 315, 445, 623, 801, 945, 1335, 1869, 2403, 3115, 4005, 5607, 9345, 12015, 16821, 28035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84099 and 84105. The biggest common factor number is the GCF number.
So the greatest common factor 84099 and 84105 is 3.

Also check out the Least Common Multiple of 84099 and 84105