Greatest Common Factor of 13077 and 13083

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 13077, 13083 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13077 and 13083 is 3.

GCF(13077,13083) = 3

GCF of 13077 and 13083

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

GCF of:
and

Greatest Common Factor of 13077 and 13083

GCF of 13077 and 13083 is 3

Prime Factorization of 13077


3 13077
3 4359
1453 1453
1

Prime factors of 13077 are 3,1453. Prime factorization of 13077 in exponential form is:

13077 = 32×14531

Prime Factorization of 13083


3 13083
7 4361
7 623
89 89
1

Prime factors of 13083 are 3,7,89. Prime factorization of 13083 in exponential form is:

13083 = 31×72×891

∴ So by taking common prime factors GCF of 13077 and 13083 is 3

Greatest Common Factor of 13077 and 13083 by matching factors method

Factors of 13077

List of positive integer factors of 13077 that divides 13077 without a remainder.

1,3,9,1453,4359,13077

Factors of 13083

List of positive integer factors of 13083 that divides 13083 without a remainder.

1,3,7,21,49,89,147,267,623,1869,4361,13083

Greatest Common Factor

We found the factors and prime factorization of 13077 and 13083. The biggest common factor number is the GCF number.
So the greatest common factor 13077 and 13083 is 3.

Also check out the Least Common Multiple of 13077 and 13083

Properties of GCF 13077 and 13083

(i) The GCF of 13077 and 13083 is associative

GCF of 13077 and 13083 = GCF of 13083 and 13077

Related Greatest Common Factor of 13077

Related Greatest Common Factor of 13083

Frequently Asked Questions on GCF of 13077 and 13083

1. What is the GCF of 13077 and 13083?

Answer: GCF of 13077 and 13083 is 3.

2. What are the Factors of 13077?

Answer: Factors of 13077 are 1, 3, 9, 1453, 4359, 13077. There are 6 integers that are factors of 13077. The greatest factor of 13077 is 13077.

3. What are the Factors of 13083?

Answer: Factors of 13083 are 1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361, 13083. There are 12 integers that are factors of 13083. The greatest factor of 13083 is 13083.

4. How to Find the GCF of 13077 and 13083?

Answer:

Greatest Common Factor of 13077 and 13083 = 3

Step 1: Find the prime factorization of 13077

13077 = 3 x 3 x 1453

Step 2: Find the prime factorization of 13083

13083 = 3 x 7 x 7 x 89

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 13077 and 13083 is 3