What is the Greatest Common Factor of 84360 and 84375?

Greatest common factor (GCF) of 84360 and 84375 is 15.

GCF(84360,84375) = 15

We will now calculate the prime factors of 84360 and 84375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84360 and 84375.

How to find the GCF of 84360 and 84375?

We will first find the prime factorization of 84360 and 84375. After we will calculate the factors of 84360 and 84375 and find the biggest common factor number .

Step-1: Prime Factorization of 84360

Prime factors of 84360 are 2, 3, 5, 19, 37. Prime factorization of 84360 in exponential form is:

84360 = 2³ × 3¹ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 84375

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

84375 = 3³ × 5⁵

Step-3: Factors of 84360

List of positive integer factors of 84360 that divides 84360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 37, 38, 40, 57, 60, 74, 76, 95, 111, 114, 120, 148, 152, 185, 190, 222, 228, 285, 296, 370, 380, 444, 456, 555, 570, 703, 740, 760, 888, 1110, 1140, 1406, 1480, 2109, 2220, 2280, 2812, 3515, 4218, 4440, 5624, 7030, 8436, 10545, 14060, 16872, 21090, 28120, 42180

Step-4: Factors of 84375

List of positive integer factors of 84375 that divides 84360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84360 and 84375. The biggest common factor number is the GCF number.
So the greatest common factor 84360 and 84375 is 15.

Also check out the Least Common Multiple of 84360 and 84375