What is the Greatest Common Factor of 87376 and 87384?

Greatest common factor (GCF) of 87376 and 87384 is 8.

GCF(87376,87384) = 8

We will now calculate the prime factors of 87376 and 87384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87376 and 87384.

How to find the GCF of 87376 and 87384?

We will first find the prime factorization of 87376 and 87384. After we will calculate the factors of 87376 and 87384 and find the biggest common factor number .

Step-1: Prime Factorization of 87376

Prime factors of 87376 are 2, 43, 127. Prime factorization of 87376 in exponential form is:

87376 = 2⁴ × 43¹ × 127¹

Step-2: 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-3: Factors of 87376

List of positive integer factors of 87376 that divides 87376 without a remainder.

1, 2, 4, 8, 16, 43, 86, 127, 172, 254, 344, 508, 688, 1016, 2032, 5461, 10922, 21844, 43688

Step-4: Factors of 87384

List of positive integer factors of 87384 that divides 87376 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87376 and 87384. The biggest common factor number is the GCF number.
So the greatest common factor 87376 and 87384 is 8.

Also check out the Least Common Multiple of 87376 and 87384