Greatest Common Factor of 8829 and 8832

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 8829, 8832 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8829 and 8832 is 3.

GCF(8829,8832) = 3

GCF of 8829 and 8832

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

GCF of:
and

Greatest Common Factor of 8829 and 8832

GCF of 8829 and 8832 is 3

Prime Factorization of 8829


3 8829
3 2943
3 981
3 327
109 109
1

Prime factors of 8829 are 3,109. Prime factorization of 8829 in exponential form is:

8829 = 34×1091

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

∴ So by taking common prime factors GCF of 8829 and 8832 is 3

Greatest Common Factor of 8829 and 8832 by matching factors method

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1,3,9,27,81,109,327,981,2943,8829

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

Greatest Common Factor

We found the factors and prime factorization of 8829 and 8832. The biggest common factor number is the GCF number.
So the greatest common factor 8829 and 8832 is 3.

Also check out the Least Common Multiple of 8829 and 8832

Properties of GCF 8829 and 8832

(i) The GCF of 8829 and 8832 is associative

GCF of 8829 and 8832 = GCF of 8832 and 8829

Related Greatest Common Factor of 8829

Related Greatest Common Factor of 8832

Frequently Asked Questions on GCF of 8829 and 8832

1. What is the GCF of 8829 and 8832?

Answer: GCF of 8829 and 8832 is 3.

2. What are the Factors of 8829?

Answer: Factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829. There are 10 integers that are factors of 8829. The greatest factor of 8829 is 8829.

3. 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.

4. How to Find the GCF of 8829 and 8832?

Answer:

Greatest Common Factor of 8829 and 8832 = 3

Step 1: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8829 and 8832 is 3