Greatest Common Factor of 5088 and 5096

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 5088, 5096 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5088 and 5096 is 8.

GCF(5088,5096) = 8

GCF of 5088 and 5096

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

GCF of:
and

Greatest Common Factor of 5088 and 5096

GCF of 5088 and 5096 is 8

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

Prime Factorization of 5096


2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 5096 are 2,7,13. Prime factorization of 5096 in exponential form is:

5096 = 23×72×131

∴ So by taking common prime factors GCF of 5088 and 5096 is 8

Greatest Common Factor of 5088 and 5096 by matching factors method

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

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors and prime factorization of 5088 and 5096. The biggest common factor number is the GCF number.
So the greatest common factor 5088 and 5096 is 8.

Also check out the Least Common Multiple of 5088 and 5096

Properties of GCF 5088 and 5096

(i) The GCF of 5088 and 5096 is associative

GCF of 5088 and 5096 = GCF of 5096 and 5088

Related Greatest Common Factor of 5088

Related Greatest Common Factor of 5096

Frequently Asked Questions on GCF of 5088 and 5096

1. What is the GCF of 5088 and 5096?

Answer: GCF of 5088 and 5096 is 8.

2. 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.

3. What are the Factors of 5096?

Answer: Factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096. There are 24 integers that are factors of 5096. The greatest factor of 5096 is 5096.

4. How to Find the GCF of 5088 and 5096?

Answer:

Greatest Common Factor of 5088 and 5096 = 8

Step 1: Find the prime factorization of 5088

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

Step 2: Find the prime factorization of 5096

5096 = 2 x 2 x 2 x 7 x 7 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5088 and 5096 is 8