What is the Greatest Common Factor of 84360 and 84369?

Greatest common factor (GCF) of 84360 and 84369 is 3.

GCF(84360,84369) = 3

We will now calculate the prime factors of 84360 and 84369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84360 and 84369.

How to find the GCF of 84360 and 84369?

We will first find the prime factorization of 84360 and 84369. After we will calculate the factors of 84360 and 84369 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 84369

Prime factors of 84369 are 3, 28123. Prime factorization of 84369 in exponential form is:

84369 = 3¹ × 28123¹

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 84369

List of positive integer factors of 84369 that divides 84360 without a remainder.

1, 3, 28123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84360 and 84369. The biggest common factor number is the GCF number.
So the greatest common factor 84360 and 84369 is 3.

Also check out the Least Common Multiple of 84360 and 84369