What is the Greatest Common Factor of 84105 and 84115?

Greatest common factor (GCF) of 84105 and 84115 is 5.

GCF(84105,84115) = 5

We will now calculate the prime factors of 84105 and 84115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84105 and 84115.

How to find the GCF of 84105 and 84115?

We will first find the prime factorization of 84105 and 84115. After we will calculate the factors of 84105 and 84115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84115

Prime factors of 84115 are 5, 16823. Prime factorization of 84115 in exponential form is:

84115 = 5¹ × 16823¹

Step-3: Factors of 84105

List of positive integer factors of 84105 that divides 84105 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

Step-4: Factors of 84115

List of positive integer factors of 84115 that divides 84105 without a remainder.

1, 5, 16823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84105 and 84115. The biggest common factor number is the GCF number.
So the greatest common factor 84105 and 84115 is 5.

Also check out the Least Common Multiple of 84105 and 84115