What is the Greatest Common Factor of 87840 and 87846?

Greatest common factor (GCF) of 87840 and 87846 is 6.

GCF(87840,87846) = 6

We will now calculate the prime factors of 87840 and 87846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87840 and 87846.

How to find the GCF of 87840 and 87846?

We will first find the prime factorization of 87840 and 87846. After we will calculate the factors of 87840 and 87846 and find the biggest common factor number .

Step-1: Prime Factorization of 87840

Prime factors of 87840 are 2, 3, 5, 61. Prime factorization of 87840 in exponential form is:

87840 = 2⁵ × 3² × 5¹ × 61¹

Step-2: Prime Factorization of 87846

Prime factors of 87846 are 2, 3, 11. Prime factorization of 87846 in exponential form is:

87846 = 2¹ × 3¹ × 11⁴

Step-3: Factors of 87840

List of positive integer factors of 87840 that divides 87840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 61, 72, 80, 90, 96, 120, 122, 144, 160, 180, 183, 240, 244, 288, 305, 360, 366, 480, 488, 549, 610, 720, 732, 915, 976, 1098, 1220, 1440, 1464, 1830, 1952, 2196, 2440, 2745, 2928, 3660, 4392, 4880, 5490, 5856, 7320, 8784, 9760, 10980, 14640, 17568, 21960, 29280, 43920

Step-4: Factors of 87846

List of positive integer factors of 87846 that divides 87840 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986, 14641, 29282, 43923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87840 and 87846. The biggest common factor number is the GCF number.
So the greatest common factor 87840 and 87846 is 6.

Also check out the Least Common Multiple of 87840 and 87846