Greatest Common Factor of 5083 and 5088

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 5083, 5088 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5083 and 5088 is 1.

GCF(5083,5088) = 1

GCF of 5083 and 5088

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

GCF of:
and

Greatest Common Factor of 5083 and 5088

GCF of 5083 and 5088 is 1

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

Prime Factorization of 5088


2 5088
2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 5088 are 2,3,53. Prime factorization of 5088 in exponential form is:

5088 = 25×31×531

∴ So by taking common prime factors GCF of 5083 and 5088 is 1

Greatest Common Factor of 5083 and 5088 by matching factors method

Factors of 5083

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

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

Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088

Greatest Common Factor

We found the factors and prime factorization of 5083 and 5088. The biggest common factor number is the GCF number.
So the greatest common factor 5083 and 5088 is 1.

Also check out the Least Common Multiple of 5083 and 5088

Properties of GCF 5083 and 5088

(i) The GCF of 5083 and 5088 is associative

GCF of 5083 and 5088 = GCF of 5088 and 5083

Related Greatest Common Factor of 5083

Related Greatest Common Factor of 5088

Frequently Asked Questions on GCF of 5083 and 5088

1. What is the GCF of 5083 and 5088?

Answer: GCF of 5083 and 5088 is 1.

2. 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.

3. What are the Factors of 5088?

Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.

4. How to Find the GCF of 5083 and 5088?

Answer:

Greatest Common Factor of 5083 and 5088 = 1

Step 1: Find the prime factorization of 5083

5083 = 13 x 17 x 23

Step 2: Find the prime factorization of 5088

5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53

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 5083 and 5088 is 1