Greatest Common Factor of 2840 and 2848

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 2840, 2848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2840 and 2848 is 8.

GCF(2840,2848) = 8

GCF of 2840 and 2848

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

GCF of:
and

Greatest Common Factor of 2840 and 2848

GCF of 2840 and 2848 is 8

Prime Factorization of 2840


2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 2840 are 2,5,71. Prime factorization of 2840 in exponential form is:

2840 = 23×51×711

Prime Factorization of 2848


2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 2848 are 2,89. Prime factorization of 2848 in exponential form is:

2848 = 25×891

∴ So by taking common prime factors GCF of 2840 and 2848 is 8

Greatest Common Factor of 2840 and 2848 by matching factors method

Factors of 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840

Factors of 2848

List of positive integer factors of 2848 that divides 2848 without a remainder.

1,2,4,8,16,32,89,178,356,712,1424,2848

Greatest Common Factor

We found the factors and prime factorization of 2840 and 2848. The biggest common factor number is the GCF number.
So the greatest common factor 2840 and 2848 is 8.

Also check out the Least Common Multiple of 2840 and 2848

Properties of GCF 2840 and 2848

(i) The GCF of 2840 and 2848 is associative

GCF of 2840 and 2848 = GCF of 2848 and 2840

Related Greatest Common Factor of 2840

Related Greatest Common Factor of 2848

Frequently Asked Questions on GCF of 2840 and 2848

1. What is the GCF of 2840 and 2848?

Answer: GCF of 2840 and 2848 is 8.

2. What are the Factors of 2840?

Answer: Factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. There are 16 integers that are factors of 2840. The greatest factor of 2840 is 2840.

3. What are the Factors of 2848?

Answer: Factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848. There are 12 integers that are factors of 2848. The greatest factor of 2848 is 2848.

4. How to Find the GCF of 2840 and 2848?

Answer:

Greatest Common Factor of 2840 and 2848 = 8

Step 1: Find the prime factorization of 2840

2840 = 2 x 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 2848

2848 = 2 x 2 x 2 x 2 x 2 x 89

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 2840 and 2848 is 8