Greatest Common Factor of 2848 and 2852

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 2848, 2852 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2848 and 2852 is 4.

GCF(2848,2852) = 4

GCF of 2848 and 2852

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

GCF of:
and

Greatest Common Factor of 2848 and 2852

GCF of 2848 and 2852 is 4

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

Prime Factorization of 2852


2 2852
2 1426
23 713
31 31
1

Prime factors of 2852 are 2,23,31. Prime factorization of 2852 in exponential form is:

2852 = 22×231×311

∴ So by taking common prime factors GCF of 2848 and 2852 is 4

Greatest Common Factor of 2848 and 2852 by matching factors method

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

Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1,2,4,23,31,46,62,92,124,713,1426,2852

Greatest Common Factor

We found the factors and prime factorization of 2848 and 2852. The biggest common factor number is the GCF number.
So the greatest common factor 2848 and 2852 is 4.

Also check out the Least Common Multiple of 2848 and 2852

Properties of GCF 2848 and 2852

(i) The GCF of 2848 and 2852 is associative

GCF of 2848 and 2852 = GCF of 2852 and 2848

Related Greatest Common Factor of 2848

Related Greatest Common Factor of 2852

Frequently Asked Questions on GCF of 2848 and 2852

1. What is the GCF of 2848 and 2852?

Answer: GCF of 2848 and 2852 is 4.

2. 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.

3. What are the Factors of 2852?

Answer: Factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852. There are 12 integers that are factors of 2852. The greatest factor of 2852 is 2852.

4. How to Find the GCF of 2848 and 2852?

Answer:

Greatest Common Factor of 2848 and 2852 = 4

Step 1: Find the prime factorization of 2848

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

Step 2: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2848 and 2852 is 4