What is the Greatest Common Factor of 10872 and 10884?

Greatest common factor (GCF) of 10872 and 10884 is 12.

GCF(10872,10884) = 12

We will now calculate the prime factors of 10872 and 10884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10872 and 10884.

How to find the GCF of 10872 and 10884?

We will first find the prime factorization of 10872 and 10884. After we will calculate the factors of 10872 and 10884 and find the biggest common factor number .

Step-1: Prime Factorization of 10872

Prime factors of 10872 are 2, 3, 151. Prime factorization of 10872 in exponential form is:

10872 = 2³ × 3² × 151¹

Step-2: Prime Factorization of 10884

Prime factors of 10884 are 2, 3, 907. Prime factorization of 10884 in exponential form is:

10884 = 2² × 3¹ × 907¹

Step-3: Factors of 10872

List of positive integer factors of 10872 that divides 10872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436

Step-4: Factors of 10884

List of positive integer factors of 10884 that divides 10872 without a remainder.

1, 2, 3, 4, 6, 12, 907, 1814, 2721, 3628, 5442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10872 and 10884. The biggest common factor number is the GCF number.
So the greatest common factor 10872 and 10884 is 12.

Also check out the Least Common Multiple of 10872 and 10884