Greatest Common Factor of 5089 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 5089, 5096 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5089 and 5096 is 7.

GCF(5089,5096) = 7

GCF of 5089 and 5096

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

GCF of:
and

Greatest Common Factor of 5089 and 5096

GCF of 5089 and 5096 is 7

Prime Factorization of 5089


7 5089
727 727
1

Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:

5089 = 71×7271

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 5089 and 5096 is 7

Greatest Common Factor of 5089 and 5096 by matching factors method

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1,7,727,5089

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 5089 and 5096. The biggest common factor number is the GCF number.
So the greatest common factor 5089 and 5096 is 7.

Also check out the Least Common Multiple of 5089 and 5096

Properties of GCF 5089 and 5096

(i) The GCF of 5089 and 5096 is associative

GCF of 5089 and 5096 = GCF of 5096 and 5089

Related Greatest Common Factor of 5089

Related Greatest Common Factor of 5096

Frequently Asked Questions on GCF of 5089 and 5096

1. What is the GCF of 5089 and 5096?

Answer: GCF of 5089 and 5096 is 7.

2. What are the Factors of 5089?

Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.

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 5089 and 5096?

Answer:

Greatest Common Factor of 5089 and 5096 = 7

Step 1: Find the prime factorization of 5089

5089 = 7 x 727

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 = 7

Step 4: Therefore, the greatest common factor of 5089 and 5096 is 7