What is the Greatest Common Factor of 84660 and 84675?

Greatest common factor (GCF) of 84660 and 84675 is 15.

GCF(84660,84675) = 15

We will now calculate the prime factors of 84660 and 84675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84660 and 84675.

How to find the GCF of 84660 and 84675?

We will first find the prime factorization of 84660 and 84675. After we will calculate the factors of 84660 and 84675 and find the biggest common factor number .

Step-1: Prime Factorization of 84660

Prime factors of 84660 are 2, 3, 5, 17, 83. Prime factorization of 84660 in exponential form is:

84660 = 2² × 3¹ × 5¹ × 17¹ × 83¹

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 84660

List of positive integer factors of 84660 that divides 84660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 83, 85, 102, 166, 170, 204, 249, 255, 332, 340, 415, 498, 510, 830, 996, 1020, 1245, 1411, 1660, 2490, 2822, 4233, 4980, 5644, 7055, 8466, 14110, 16932, 21165, 28220, 42330

Step-4: Factors of 84675

List of positive integer factors of 84675 that divides 84660 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 84660 and 84675. The biggest common factor number is the GCF number.
So the greatest common factor 84660 and 84675 is 15.

Also check out the Least Common Multiple of 84660 and 84675