What is the Greatest Common Factor of 1066 and 1084?

Greatest common factor (GCF) of 1066 and 1084 is 2.

GCF(1066,1084) = 2

We will now calculate the prime factors of 1066 and 1084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1066 and 1084.

How to find the GCF of 1066 and 1084?

We will first find the prime factorization of 1066 and 1084. After we will calculate the factors of 1066 and 1084 and find the biggest common factor number .

Step-1: Prime Factorization of 1066

Prime factors of 1066 are 2, 13, 41. Prime factorization of 1066 in exponential form is:

1066 = 2¹ × 13¹ × 41¹

Step-2: Prime Factorization of 1084

Prime factors of 1084 are 2, 271. Prime factorization of 1084 in exponential form is:

1084 = 2² × 271¹

Step-3: Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1, 2, 13, 26, 41, 82, 533

Step-4: Factors of 1084

List of positive integer factors of 1084 that divides 1066 without a remainder.

1, 2, 4, 271, 542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1066 and 1084. The biggest common factor number is the GCF number.
So the greatest common factor 1066 and 1084 is 2.

Also check out the Least Common Multiple of 1066 and 1084