Greatest Common Factor of 8840 and 8848

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 8840, 8848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8840 and 8848 is 8.

GCF(8840,8848) = 8

GCF of 8840 and 8848

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

GCF of:
and

Greatest Common Factor of 8840 and 8848

GCF of 8840 and 8848 is 8

Prime Factorization of 8840


2 8840
2 4420
2 2210
5 1105
13 221
17 17
1

Prime factors of 8840 are 2,5,13,17. Prime factorization of 8840 in exponential form is:

8840 = 23×51×131×171

Prime Factorization of 8848


2 8848
2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 8848 are 2,7,79. Prime factorization of 8848 in exponential form is:

8848 = 24×71×791

∴ So by taking common prime factors GCF of 8840 and 8848 is 8

Greatest Common Factor of 8840 and 8848 by matching factors method

Factors of 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Factors of 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848

Greatest Common Factor

We found the factors and prime factorization of 8840 and 8848. The biggest common factor number is the GCF number.
So the greatest common factor 8840 and 8848 is 8.

Also check out the Least Common Multiple of 8840 and 8848

Properties of GCF 8840 and 8848

(i) The GCF of 8840 and 8848 is associative

GCF of 8840 and 8848 = GCF of 8848 and 8840

Related Greatest Common Factor of 8840

Related Greatest Common Factor of 8848

Frequently Asked Questions on GCF of 8840 and 8848

1. What is the GCF of 8840 and 8848?

Answer: GCF of 8840 and 8848 is 8.

2. What are the Factors of 8840?

Answer: Factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840. There are 32 integers that are factors of 8840. The greatest factor of 8840 is 8840.

3. What are the Factors of 8848?

Answer: Factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848. There are 20 integers that are factors of 8848. The greatest factor of 8848 is 8848.

4. How to Find the GCF of 8840 and 8848?

Answer:

Greatest Common Factor of 8840 and 8848 = 8

Step 1: Find the prime factorization of 8840

8840 = 2 x 2 x 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 8848

8848 = 2 x 2 x 2 x 2 x 7 x 79

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 8840 and 8848 is 8