Greatest Common Factor of 8824 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 8824, 8832 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8824 and 8832 is 8.

GCF(8824,8832) = 8

GCF of 8824 and 8832

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

GCF of:
and

Greatest Common Factor of 8824 and 8832

GCF of 8824 and 8832 is 8

Prime Factorization of 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

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 8824 and 8832 is 8

Greatest Common Factor of 8824 and 8832 by matching factors method

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

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 8824 and 8832. The biggest common factor number is the GCF number.
So the greatest common factor 8824 and 8832 is 8.

Also check out the Least Common Multiple of 8824 and 8832

Properties of GCF 8824 and 8832

(i) The GCF of 8824 and 8832 is associative

GCF of 8824 and 8832 = GCF of 8832 and 8824

Related Greatest Common Factor of 8824

Related Greatest Common Factor of 8832

Frequently Asked Questions on GCF of 8824 and 8832

1. What is the GCF of 8824 and 8832?

Answer: GCF of 8824 and 8832 is 8.

2. What are the Factors of 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

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 8824 and 8832?

Answer:

Greatest Common Factor of 8824 and 8832 = 8

Step 1: Find the prime factorization of 8824

8824 = 2 x 2 x 2 x 1103

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8824 and 8832 is 8