What is the Greatest Common Factor of 87876 and 87885?

Greatest common factor (GCF) of 87876 and 87885 is 9.

GCF(87876,87885) = 9

We will now calculate the prime factors of 87876 and 87885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87876 and 87885.

How to find the GCF of 87876 and 87885?

We will first find the prime factorization of 87876 and 87885. After we will calculate the factors of 87876 and 87885 and find the biggest common factor number .

Step-1: Prime Factorization of 87876

Prime factors of 87876 are 2, 3, 2441. Prime factorization of 87876 in exponential form is:

87876 = 2² × 3² × 2441¹

Step-2: Prime Factorization of 87885

Prime factors of 87885 are 3, 5, 7, 31. Prime factorization of 87885 in exponential form is:

87885 = 3⁴ × 5¹ × 7¹ × 31¹

Step-3: Factors of 87876

List of positive integer factors of 87876 that divides 87876 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2441, 4882, 7323, 9764, 14646, 21969, 29292, 43938

Step-4: Factors of 87885

List of positive integer factors of 87885 that divides 87876 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 31, 35, 45, 63, 81, 93, 105, 135, 155, 189, 217, 279, 315, 405, 465, 567, 651, 837, 945, 1085, 1395, 1953, 2511, 2835, 3255, 4185, 5859, 9765, 12555, 17577, 29295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87876 and 87885. The biggest common factor number is the GCF number.
So the greatest common factor 87876 and 87885 is 9.

Also check out the Least Common Multiple of 87876 and 87885