Greatest Common Factor of 5082 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 5082, 5088 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5082 and 5088 is 6.

GCF(5082,5088) = 6

GCF of 5082 and 5088

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

GCF of:
and

Greatest Common Factor of 5082 and 5088

GCF of 5082 and 5088 is 6

Prime Factorization of 5082


2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 5082 are 2,3,7,11. Prime factorization of 5082 in exponential form is:

5082 = 21×31×71×112

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 5082 and 5088 is 6

Greatest Common Factor of 5082 and 5088 by matching factors method

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

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 5082 and 5088. The biggest common factor number is the GCF number.
So the greatest common factor 5082 and 5088 is 6.

Also check out the Least Common Multiple of 5082 and 5088

Properties of GCF 5082 and 5088

(i) The GCF of 5082 and 5088 is associative

GCF of 5082 and 5088 = GCF of 5088 and 5082

Related Greatest Common Factor of 5082

Related Greatest Common Factor of 5088

Frequently Asked Questions on GCF of 5082 and 5088

1. What is the GCF of 5082 and 5088?

Answer: GCF of 5082 and 5088 is 6.

2. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

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 5082 and 5088?

Answer:

Greatest Common Factor of 5082 and 5088 = 6

Step 1: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5082 and 5088 is 6