What is the Greatest Common Factor of 1071 and 1077?

Greatest common factor (GCF) of 1071 and 1077 is 3.

GCF(1071,1077) = 3

We will now calculate the prime factors of 1071 and 1077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1071 and 1077.

How to find the GCF of 1071 and 1077?

We will first find the prime factorization of 1071 and 1077. After we will calculate the factors of 1071 and 1077 and find the biggest common factor number .

Step-1: Prime Factorization of 1071

Prime factors of 1071 are 3, 7, 17. Prime factorization of 1071 in exponential form is:

1071 = 3² × 7¹ × 17¹

Step-2: Prime Factorization of 1077

Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:

1077 = 3¹ × 359¹

Step-3: Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357

Step-4: Factors of 1077

List of positive integer factors of 1077 that divides 1071 without a remainder.

1, 3, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1071 and 1077. The biggest common factor number is the GCF number.
So the greatest common factor 1071 and 1077 is 3.

Also check out the Least Common Multiple of 1071 and 1077