What is the Greatest Common Factor of 87384 and 87400?

Greatest common factor (GCF) of 87384 and 87400 is 8.

GCF(87384,87400) = 8

We will now calculate the prime factors of 87384 and 87400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87384 and 87400.

How to find the GCF of 87384 and 87400?

We will first find the prime factorization of 87384 and 87400. After we will calculate the factors of 87384 and 87400 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 87400

Prime factors of 87400 are 2, 5, 19, 23. Prime factorization of 87400 in exponential form is:

87400 = 2³ × 5² × 19¹ × 23¹

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 87400

List of positive integer factors of 87400 that divides 87384 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 23, 25, 38, 40, 46, 50, 76, 92, 95, 100, 115, 152, 184, 190, 200, 230, 380, 437, 460, 475, 575, 760, 874, 920, 950, 1150, 1748, 1900, 2185, 2300, 3496, 3800, 4370, 4600, 8740, 10925, 17480, 21850, 43700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87384 and 87400. The biggest common factor number is the GCF number.
So the greatest common factor 87384 and 87400 is 8.

Also check out the Least Common Multiple of 87384 and 87400