What is the Greatest Common Factor of 10978 and 10989?

Greatest common factor (GCF) of 10978 and 10989 is 11.

GCF(10978,10989) = 11

We will now calculate the prime factors of 10978 and 10989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10978 and 10989.

How to find the GCF of 10978 and 10989?

We will first find the prime factorization of 10978 and 10989. After we will calculate the factors of 10978 and 10989 and find the biggest common factor number .

Step-1: Prime Factorization of 10978

Prime factors of 10978 are 2, 11, 499. Prime factorization of 10978 in exponential form is:

10978 = 2¹ × 11¹ × 499¹

Step-2: Prime Factorization of 10989

Prime factors of 10989 are 3, 11, 37. Prime factorization of 10989 in exponential form is:

10989 = 3³ × 11¹ × 37¹

Step-3: Factors of 10978

List of positive integer factors of 10978 that divides 10978 without a remainder.

1, 2, 11, 22, 499, 998, 5489

Step-4: Factors of 10989

List of positive integer factors of 10989 that divides 10978 without a remainder.

1, 3, 9, 11, 27, 33, 37, 99, 111, 297, 333, 407, 999, 1221, 3663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10978 and 10989. The biggest common factor number is the GCF number.
So the greatest common factor 10978 and 10989 is 11.

Also check out the Least Common Multiple of 10978 and 10989