What is the Greatest Common Factor of 10872 and 10886?

Greatest common factor (GCF) of 10872 and 10886 is 2.

GCF(10872,10886) = 2

We will now calculate the prime factors of 10872 and 10886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10872 and 10886.

How to find the GCF of 10872 and 10886?

We will first find the prime factorization of 10872 and 10886. After we will calculate the factors of 10872 and 10886 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 10886

Prime factors of 10886 are 2, 5443. Prime factorization of 10886 in exponential form is:

10886 = 2¹ × 5443¹

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 10886

List of positive integer factors of 10886 that divides 10872 without a remainder.

1, 2, 5443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10872 and 10886. The biggest common factor number is the GCF number.
So the greatest common factor 10872 and 10886 is 2.

Also check out the Least Common Multiple of 10872 and 10886