Greatest Common Factor of 1077 and 1083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1077, 1083 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1077 and 1083 is 3.

GCF(1077,1083) = 3

GCF of 1077 and 1083

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1077 and 1083

GCF of 1077 and 1083 is 3

Prime Factorization of 1077


3 1077
359 359
1

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

1077 = 31×3591

Prime Factorization of 1083


3 1083
19 361
19 19
1

Prime factors of 1083 are 3,19. Prime factorization of 1083 in exponential form is:

1083 = 31×192

∴ So by taking common prime factors GCF of 1077 and 1083 is 3

Greatest Common Factor of 1077 and 1083 by matching factors method

Factors of 1077

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

1,3,359,1077

Factors of 1083

List of positive integer factors of 1083 that divides 1083 without a remainder.

1,3,19,57,361,1083

Greatest Common Factor

We found the factors and prime factorization of 1077 and 1083. The biggest common factor number is the GCF number.
So the greatest common factor 1077 and 1083 is 3.

Also check out the Least Common Multiple of 1077 and 1083

Properties of GCF 1077 and 1083

(i) The GCF of 1077 and 1083 is associative

GCF of 1077 and 1083 = GCF of 1083 and 1077

Related Greatest Common Factor of 1077

Related Greatest Common Factor of 1083

Frequently Asked Questions on GCF of 1077 and 1083

1. What is the GCF of 1077 and 1083?

Answer: GCF of 1077 and 1083 is 3.

2. What are the Factors of 1077?

Answer: Factors of 1077 are 1, 3, 359, 1077. There are 4 integers that are factors of 1077. The greatest factor of 1077 is 1077.

3. What are the Factors of 1083?

Answer: Factors of 1083 are 1, 3, 19, 57, 361, 1083. There are 6 integers that are factors of 1083. The greatest factor of 1083 is 1083.

4. How to Find the GCF of 1077 and 1083?

Answer:

Greatest Common Factor of 1077 and 1083 = 3

Step 1: Find the prime factorization of 1077

1077 = 3 x 359

Step 2: Find the prime factorization of 1083

1083 = 3 x 19 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1077 and 1083 is 3