What is the Greatest Common Factor of 87834 and 87840?

Greatest common factor (GCF) of 87834 and 87840 is 6.

GCF(87834,87840) = 6

We will now calculate the prime factors of 87834 and 87840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87834 and 87840.

How to find the GCF of 87834 and 87840?

We will first find the prime factorization of 87834 and 87840. After we will calculate the factors of 87834 and 87840 and find the biggest common factor number .

Step-1: Prime Factorization of 87834

Prime factors of 87834 are 2, 3, 14639. Prime factorization of 87834 in exponential form is:

87834 = 2¹ × 3¹ × 14639¹

Step-2: 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-3: Factors of 87834

List of positive integer factors of 87834 that divides 87834 without a remainder.

1, 2, 3, 6, 14639, 29278, 43917

Step-4: Factors of 87840

List of positive integer factors of 87840 that divides 87834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87834 and 87840. The biggest common factor number is the GCF number.
So the greatest common factor 87834 and 87840 is 6.

Also check out the Least Common Multiple of 87834 and 87840