What is the Greatest Common Factor of 1078 and 1089?

Greatest common factor (GCF) of 1078 and 1089 is 11.

GCF(1078,1089) = 11

We will now calculate the prime factors of 1078 and 1089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1078 and 1089.

How to find the GCF of 1078 and 1089?

We will first find the prime factorization of 1078 and 1089. After we will calculate the factors of 1078 and 1089 and find the biggest common factor number .

Step-1: Prime Factorization of 1078

Prime factors of 1078 are 2, 7, 11. Prime factorization of 1078 in exponential form is:

1078 = 2¹ × 7² × 11¹

Step-2: Prime Factorization of 1089

Prime factors of 1089 are 3, 11. Prime factorization of 1089 in exponential form is:

1089 = 3² × 11²

Step-3: Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539

Step-4: Factors of 1089

List of positive integer factors of 1089 that divides 1078 without a remainder.

1, 3, 9, 11, 33, 99, 121, 363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1078 and 1089. The biggest common factor number is the GCF number.
So the greatest common factor 1078 and 1089 is 11.

Also check out the Least Common Multiple of 1078 and 1089