Greatest Common Factor of 5075 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 5075, 5083 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5075 and 5083 is 1.

GCF(5075,5083) = 1

GCF of 5075 and 5083

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

GCF of:
and

Greatest Common Factor of 5075 and 5083

GCF of 5075 and 5083 is 1

Prime Factorization of 5075


5 5075
5 1015
7 203
29 29
1

Prime factors of 5075 are 5,7,29. Prime factorization of 5075 in exponential form is:

5075 = 52×71×291

Prime Factorization of 5083


13 5083
17 391
23 23
1

Prime factors of 5083 are 13,17,23. Prime factorization of 5083 in exponential form is:

5083 = 131×171×231

∴ So by taking common prime factors GCF of 5075 and 5083 is 1

Greatest Common Factor of 5075 and 5083 by matching factors method

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

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 5075 and 5083. The biggest common factor number is the GCF number.
So the greatest common factor 5075 and 5083 is 1.

Also check out the Least Common Multiple of 5075 and 5083

Properties of GCF 5075 and 5083

(i) The GCF of 5075 and 5083 is associative

GCF of 5075 and 5083 = GCF of 5083 and 5075

Related Greatest Common Factor of 5075

Related Greatest Common Factor of 5083

Frequently Asked Questions on GCF of 5075 and 5083

1. What is the GCF of 5075 and 5083?

Answer: GCF of 5075 and 5083 is 1.

2. What are the Factors of 5075?

Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.

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 5075 and 5083?

Answer:

Greatest Common Factor of 5075 and 5083 = 1

Step 1: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

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 5075 and 5083 is 1