What is the Greatest Common Factor of 10878 and 10892?

Greatest common factor (GCF) of 10878 and 10892 is 14.

GCF(10878,10892) = 14

We will now calculate the prime factors of 10878 and 10892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10878 and 10892.

How to find the GCF of 10878 and 10892?

We will first find the prime factorization of 10878 and 10892. After we will calculate the factors of 10878 and 10892 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10892

Prime factors of 10892 are 2, 7, 389. Prime factorization of 10892 in exponential form is:

10892 = 2² × 7¹ × 389¹

Step-3: Factors of 10878

List of positive integer factors of 10878 that divides 10878 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

Step-4: Factors of 10892

List of positive integer factors of 10892 that divides 10878 without a remainder.

1, 2, 4, 7, 14, 28, 389, 778, 1556, 2723, 5446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10878 and 10892. The biggest common factor number is the GCF number.
So the greatest common factor 10878 and 10892 is 14.

Also check out the Least Common Multiple of 10878 and 10892