What is the Greatest Common Factor of 10864 and 10876?

Greatest common factor (GCF) of 10864 and 10876 is 4.

GCF(10864,10876) = 4

We will now calculate the prime factors of 10864 and 10876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10864 and 10876.

How to find the GCF of 10864 and 10876?

We will first find the prime factorization of 10864 and 10876. After we will calculate the factors of 10864 and 10876 and find the biggest common factor number .

Step-1: Prime Factorization of 10864

Prime factors of 10864 are 2, 7, 97. Prime factorization of 10864 in exponential form is:

10864 = 2⁴ × 7¹ × 97¹

Step-2: Prime Factorization of 10876

Prime factors of 10876 are 2, 2719. Prime factorization of 10876 in exponential form is:

10876 = 2² × 2719¹

Step-3: Factors of 10864

List of positive integer factors of 10864 that divides 10864 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 97, 112, 194, 388, 679, 776, 1358, 1552, 2716, 5432

Step-4: Factors of 10876

List of positive integer factors of 10876 that divides 10864 without a remainder.

1, 2, 4, 2719, 5438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10864 and 10876. The biggest common factor number is the GCF number.
So the greatest common factor 10864 and 10876 is 4.

Also check out the Least Common Multiple of 10864 and 10876