What is the Greatest Common Factor of 87372 and 87384?

Greatest common factor (GCF) of 87372 and 87384 is 12.

GCF(87372,87384) = 12

We will now calculate the prime factors of 87372 and 87384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87372 and 87384.

How to find the GCF of 87372 and 87384?

We will first find the prime factorization of 87372 and 87384. After we will calculate the factors of 87372 and 87384 and find the biggest common factor number .

Step-1: Prime Factorization of 87372

Prime factors of 87372 are 2, 3, 809. Prime factorization of 87372 in exponential form is:

87372 = 2² × 3³ × 809¹

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 87372

List of positive integer factors of 87372 that divides 87372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 809, 1618, 2427, 3236, 4854, 7281, 9708, 14562, 21843, 29124, 43686

Step-4: Factors of 87384

List of positive integer factors of 87384 that divides 87372 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 87372 and 87384. The biggest common factor number is the GCF number.
So the greatest common factor 87372 and 87384 is 12.

Also check out the Least Common Multiple of 87372 and 87384