What is the Greatest Common Factor of 87384 and 87399?

Greatest common factor (GCF) of 87384 and 87399 is 3.

GCF(87384,87399) = 3

We will now calculate the prime factors of 87384 and 87399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87384 and 87399.

How to find the GCF of 87384 and 87399?

We will first find the prime factorization of 87384 and 87399. After we will calculate the factors of 87384 and 87399 and find the biggest common factor number .

Step-1: Prime Factorization of 87384

Prime factors of 87384 are 2, 3, 11, 331. Prime factorization of 87384 in exponential form is:

87384 = 2³ × 3¹ × 11¹ × 331¹

Step-2: Prime Factorization of 87399

Prime factors of 87399 are 3, 13, 83. Prime factorization of 87399 in exponential form is:

87399 = 3⁴ × 13¹ × 83¹

Step-3: Factors of 87384

List of positive integer factors of 87384 that divides 87384 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 331, 662, 993, 1324, 1986, 2648, 3641, 3972, 7282, 7944, 10923, 14564, 21846, 29128, 43692

Step-4: Factors of 87399

List of positive integer factors of 87399 that divides 87384 without a remainder.

1, 3, 9, 13, 27, 39, 81, 83, 117, 249, 351, 747, 1053, 1079, 2241, 3237, 6723, 9711, 29133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87384 and 87399. The biggest common factor number is the GCF number.
So the greatest common factor 87384 and 87399 is 3.

Also check out the Least Common Multiple of 87384 and 87399