Greatest Common Factor of 5077 and 5083

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 5077, 5083 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5077 and 5083 is 1.

GCF(5077,5083) = 1

GCF of 5077 and 5083

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

GCF of:
and

Greatest Common Factor of 5077 and 5083

GCF of 5077 and 5083 is 1

Prime Factorization of 5077


5077 5077
1

Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:

5077 = 50771

Prime Factorization of 5083


13 5083
17 391
23 23
1

Prime factors of 5083 are 13.Prime factorization of 5083 in exponential form is:

5083 = 131×171×231

∴ So by taking common prime factors GCF of 5077 and 5083 is 1

Greatest Common Factor of 5077 and 5083 by matching factors method

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1,5077

Factors of 5083

List of positive integer factors of 5083 that divides 5083 without a remainder.

1,13,17,23,221,299,391,5083

Greatest Common Factor

We found the factors and prime factorization of 5077 and 5083. The biggest common factor number is the GCF number.
So the greatest common factor 5077 and 5083 is 1.

Also check out the Least Common Multiple of 5077 and 5083

Properties of GCF 5077 and 5083

(i) The GCF of 5077 and 5083 is associative

GCF of 5077 and 5083 = GCF of 5083 and 5077

Related Greatest Common Factor of 5077

Related Greatest Common Factor of 5083

Frequently Asked Questions on GCF of 5077 and 5083

1. What is the GCF of 5077 and 5083?

Answer: GCF of 5077 and 5083 is 1.

2. What are the Factors of 5077?

Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.

3. What are the Factors of 5083?

Answer: Factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083. There are 8 integers that are factors of 5083. The greatest factor of 5083 is 5083.

4. How to Find the GCF of 5077 and 5083?

Answer:

Greatest Common Factor of 5077 and 5083 = 1

Step 1: Find the prime factorization of 5077

5077 = 5077

Step 2: Find the prime factorization of 5083

5083 = 13 x 17 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5077 and 5083 is 1