What is the Greatest Common Factor of 10864 and 10878?

Greatest common factor (GCF) of 10864 and 10878 is 14.

GCF(10864,10878) = 14

We will now calculate the prime factors of 10864 and 10878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10864 and 10878.

How to find the GCF of 10864 and 10878?

We will first find the prime factorization of 10864 and 10878. After we will calculate the factors of 10864 and 10878 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 10878

Prime factors of 10878 are 2, 3, 7, 37. Prime factorization of 10878 in exponential form is:

10878 = 2¹ × 3¹ × 7² × 37¹

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 10878

List of positive integer factors of 10878 that divides 10864 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 49, 74, 98, 111, 147, 222, 259, 294, 518, 777, 1554, 1813, 3626, 5439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10864 and 10878. The biggest common factor number is the GCF number.
So the greatest common factor 10864 and 10878 is 14.

Also check out the Least Common Multiple of 10864 and 10878