What is the Greatest Common Factor of 876 and 885?

Greatest common factor (GCF) of 876 and 885 is 3.

GCF(876,885) = 3

We will now calculate the prime factors of 876 and 885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 876 and 885.

How to find the GCF of 876 and 885?

We will first find the prime factorization of 876 and 885. After we will calculate the factors of 876 and 885 and find the biggest common factor number .

Step-1: Prime Factorization of 876

Prime factors of 876 are 2, 3, 73. Prime factorization of 876 in exponential form is:

876 = 2² × 3¹ × 73¹

Step-2: Prime Factorization of 885

Prime factors of 885 are 3, 5, 59. Prime factorization of 885 in exponential form is:

885 = 3¹ × 5¹ × 59¹

Step-3: Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438

Step-4: Factors of 885

List of positive integer factors of 885 that divides 876 without a remainder.

1, 3, 5, 15, 59, 177, 295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 876 and 885. The biggest common factor number is the GCF number.
So the greatest common factor 876 and 885 is 3.

Also check out the Least Common Multiple of 876 and 885