What is the Greatest Common Factor of 1078 and 1082?

Greatest common factor (GCF) of 1078 and 1082 is 2.

GCF(1078,1082) = 2

We will now calculate the prime factors of 1078 and 1082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1078 and 1082.

How to find the GCF of 1078 and 1082?

We will first find the prime factorization of 1078 and 1082. After we will calculate the factors of 1078 and 1082 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 1082

Prime factors of 1082 are 2, 541. Prime factorization of 1082 in exponential form is:

1082 = 2¹ × 541¹

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 1082

List of positive integer factors of 1082 that divides 1078 without a remainder.

1, 2, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1078 and 1082. The biggest common factor number is the GCF number.
So the greatest common factor 1078 and 1082 is 2.

Also check out the Least Common Multiple of 1078 and 1082