Greatest Common Factor of 10088 and 10096

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 10088, 10096 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10088 and 10096 is 8.

GCF(10088,10096) = 8

GCF of 10088 and 10096

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

GCF of:
and

Greatest Common Factor of 10088 and 10096

GCF of 10088 and 10096 is 8

Prime Factorization of 10088


2 10088
2 5044
2 2522
13 1261
97 97
1

Prime factors of 10088 are 2,13,97. Prime factorization of 10088 in exponential form is:

10088 = 23×131×971

Prime Factorization of 10096


2 10096
2 5048
2 2524
2 1262
631 631
1

Prime factors of 10096 are 2,631. Prime factorization of 10096 in exponential form is:

10096 = 24×6311

∴ So by taking common prime factors GCF of 10088 and 10096 is 8

Greatest Common Factor of 10088 and 10096 by matching factors method

Factors of 10088

List of positive integer factors of 10088 that divides 10088 without a remainder.

1,2,4,8,13,26,52,97,104,194,388,776,1261,2522,5044,10088

Factors of 10096

List of positive integer factors of 10096 that divides 10096 without a remainder.

1,2,4,8,16,631,1262,2524,5048,10096

Greatest Common Factor

We found the factors and prime factorization of 10088 and 10096. The biggest common factor number is the GCF number.
So the greatest common factor 10088 and 10096 is 8.

Also check out the Least Common Multiple of 10088 and 10096

Properties of GCF 10088 and 10096

(i) The GCF of 10088 and 10096 is associative

GCF of 10088 and 10096 = GCF of 10096 and 10088

Related Greatest Common Factor of 10088

Related Greatest Common Factor of 10096

Frequently Asked Questions on GCF of 10088 and 10096

1. What is the GCF of 10088 and 10096?

Answer: GCF of 10088 and 10096 is 8.

2. What are the Factors of 10088?

Answer: Factors of 10088 are 1, 2, 4, 8, 13, 26, 52, 97, 104, 194, 388, 776, 1261, 2522, 5044, 10088. There are 16 integers that are factors of 10088. The greatest factor of 10088 is 10088.

3. What are the Factors of 10096?

Answer: Factors of 10096 are 1, 2, 4, 8, 16, 631, 1262, 2524, 5048, 10096. There are 10 integers that are factors of 10096. The greatest factor of 10096 is 10096.

4. How to Find the GCF of 10088 and 10096?

Answer:

Greatest Common Factor of 10088 and 10096 = 8

Step 1: Find the prime factorization of 10088

10088 = 2 x 2 x 2 x 13 x 97

Step 2: Find the prime factorization of 10096

10096 = 2 x 2 x 2 x 2 x 631

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 10088 and 10096 is 8