What is the Greatest Common Factor of 87840 and 87855?

Greatest common factor (GCF) of 87840 and 87855 is 15.

GCF(87840,87855) = 15

We will now calculate the prime factors of 87840 and 87855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87840 and 87855.

How to find the GCF of 87840 and 87855?

We will first find the prime factorization of 87840 and 87855. After we will calculate the factors of 87840 and 87855 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 87855

Prime factors of 87855 are 3, 5, 5857. Prime factorization of 87855 in exponential form is:

87855 = 3¹ × 5¹ × 5857¹

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 87855

List of positive integer factors of 87855 that divides 87840 without a remainder.

1, 3, 5, 15, 5857, 17571, 29285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87840 and 87855. The biggest common factor number is the GCF number.
So the greatest common factor 87840 and 87855 is 15.

Also check out the Least Common Multiple of 87840 and 87855