What is the Greatest Common Factor of 84669 and 84675?

Greatest common factor (GCF) of 84669 and 84675 is 3.

GCF(84669,84675) = 3

We will now calculate the prime factors of 84669 and 84675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84669 and 84675.

How to find the GCF of 84669 and 84675?

We will first find the prime factorization of 84669 and 84675. After we will calculate the factors of 84669 and 84675 and find the biggest common factor number .

Step-1: Prime Factorization of 84669

Prime factors of 84669 are 3, 13, 167. Prime factorization of 84669 in exponential form is:

84669 = 3¹ × 13² × 167¹

Step-2: Prime Factorization of 84675

Prime factors of 84675 are 3, 5, 1129. Prime factorization of 84675 in exponential form is:

84675 = 3¹ × 5² × 1129¹

Step-3: Factors of 84669

List of positive integer factors of 84669 that divides 84669 without a remainder.

1, 3, 13, 39, 167, 169, 501, 507, 2171, 6513, 28223

Step-4: Factors of 84675

List of positive integer factors of 84675 that divides 84669 without a remainder.

1, 3, 5, 15, 25, 75, 1129, 3387, 5645, 16935, 28225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84669 and 84675. The biggest common factor number is the GCF number.
So the greatest common factor 84669 and 84675 is 3.

Also check out the Least Common Multiple of 84669 and 84675