What is the Greatest Common Factor of 10887 and 10893?

Greatest common factor (GCF) of 10887 and 10893 is 3.

GCF(10887,10893) = 3

We will now calculate the prime factors of 10887 and 10893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10887 and 10893.

How to find the GCF of 10887 and 10893?

We will first find the prime factorization of 10887 and 10893. After we will calculate the factors of 10887 and 10893 and find the biggest common factor number .

Step-1: Prime Factorization of 10887

Prime factors of 10887 are 3, 19, 191. Prime factorization of 10887 in exponential form is:

10887 = 3¹ × 19¹ × 191¹

Step-2: Prime Factorization of 10893

Prime factors of 10893 are 3, 3631. Prime factorization of 10893 in exponential form is:

10893 = 3¹ × 3631¹

Step-3: Factors of 10887

List of positive integer factors of 10887 that divides 10887 without a remainder.

1, 3, 19, 57, 191, 573, 3629

Step-4: Factors of 10893

List of positive integer factors of 10893 that divides 10887 without a remainder.

1, 3, 3631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10887 and 10893. The biggest common factor number is the GCF number.
So the greatest common factor 10887 and 10893 is 3.

Also check out the Least Common Multiple of 10887 and 10893