Greatest Common Factor of 8832 and 8834

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 8832, 8834 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8832 and 8834 is 2.

GCF(8832,8834) = 2

GCF of 8832 and 8834

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

GCF of:
and

Greatest Common Factor of 8832 and 8834

GCF of 8832 and 8834 is 2

Prime Factorization of 8832


2 8832
2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 8832 are 2,3,23. Prime factorization of 8832 in exponential form is:

8832 = 27×31×231

Prime Factorization of 8834


2 8834
7 4417
631 631
1

Prime factors of 8834 are 2,7,631. Prime factorization of 8834 in exponential form is:

8834 = 21×71×6311

∴ So by taking common prime factors GCF of 8832 and 8834 is 2

Greatest Common Factor of 8832 and 8834 by matching factors method

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832

Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1,2,7,14,631,1262,4417,8834

Greatest Common Factor

We found the factors and prime factorization of 8832 and 8834. The biggest common factor number is the GCF number.
So the greatest common factor 8832 and 8834 is 2.

Also check out the Least Common Multiple of 8832 and 8834

Properties of GCF 8832 and 8834

(i) The GCF of 8832 and 8834 is associative

GCF of 8832 and 8834 = GCF of 8834 and 8832

Related Greatest Common Factor of 8832

Related Greatest Common Factor of 8834

Frequently Asked Questions on GCF of 8832 and 8834

1. What is the GCF of 8832 and 8834?

Answer: GCF of 8832 and 8834 is 2.

2. What are the Factors of 8832?

Answer: Factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832. There are 32 integers that are factors of 8832. The greatest factor of 8832 is 8832.

3. What are the Factors of 8834?

Answer: Factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834. There are 8 integers that are factors of 8834. The greatest factor of 8834 is 8834.

4. How to Find the GCF of 8832 and 8834?

Answer:

Greatest Common Factor of 8832 and 8834 = 2

Step 1: Find the prime factorization of 8832

8832 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 8834

8834 = 2 x 7 x 631

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8832 and 8834 is 2