What is the Greatest Common Factor of 84105 and 84125?

Greatest common factor (GCF) of 84105 and 84125 is 5.

GCF(84105,84125) = 5

We will now calculate the prime factors of 84105 and 84125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84105 and 84125.

How to find the GCF of 84105 and 84125?

We will first find the prime factorization of 84105 and 84125. After we will calculate the factors of 84105 and 84125 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 84125

Prime factors of 84125 are 5, 673. Prime factorization of 84125 in exponential form is:

84125 = 5³ × 673¹

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 84125

List of positive integer factors of 84125 that divides 84105 without a remainder.

1, 5, 25, 125, 673, 3365, 16825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84105 and 84125. The biggest common factor number is the GCF number.
So the greatest common factor 84105 and 84125 is 5.

Also check out the Least Common Multiple of 84105 and 84125