What is the Greatest Common Factor of 84375 and 84390?

Greatest common factor (GCF) of 84375 and 84390 is 15.

GCF(84375,84390) = 15

We will now calculate the prime factors of 84375 and 84390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84375 and 84390.

How to find the GCF of 84375 and 84390?

We will first find the prime factorization of 84375 and 84390. After we will calculate the factors of 84375 and 84390 and find the biggest common factor number .

Step-1: Prime Factorization of 84375

Prime factors of 84375 are 3, 5. Prime factorization of 84375 in exponential form is:

84375 = 3³ × 5⁵

Step-2: Prime Factorization of 84390

Prime factors of 84390 are 2, 3, 5, 29, 97. Prime factorization of 84390 in exponential form is:

84390 = 2¹ × 3¹ × 5¹ × 29¹ × 97¹

Step-3: Factors of 84375

List of positive integer factors of 84375 that divides 84375 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1125, 1875, 3125, 3375, 5625, 9375, 16875, 28125

Step-4: Factors of 84390

List of positive integer factors of 84390 that divides 84375 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 97, 145, 174, 194, 290, 291, 435, 485, 582, 870, 970, 1455, 2813, 2910, 5626, 8439, 14065, 16878, 28130, 42195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84375 and 84390. The biggest common factor number is the GCF number.
So the greatest common factor 84375 and 84390 is 15.

Also check out the Least Common Multiple of 84375 and 84390