Greatest Common Factor of 2812 and 2816

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 2812, 2816 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2812 and 2816 is 4.

GCF(2812,2816) = 4

GCF of 2812 and 2816

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

GCF of:
and

Greatest Common Factor of 2812 and 2816

GCF of 2812 and 2816 is 4

Prime Factorization of 2812


2 2812
2 1406
19 703
37 37
1

Prime factors of 2812 are 2,19,37. Prime factorization of 2812 in exponential form is:

2812 = 22×191×371

Prime Factorization of 2816


2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 2816 are 2,11. Prime factorization of 2816 in exponential form is:

2816 = 28×111

∴ So by taking common prime factors GCF of 2812 and 2816 is 4

Greatest Common Factor of 2812 and 2816 by matching factors method

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1,2,4,19,37,38,74,76,148,703,1406,2812

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Greatest Common Factor

We found the factors and prime factorization of 2812 and 2816. The biggest common factor number is the GCF number.
So the greatest common factor 2812 and 2816 is 4.

Also check out the Least Common Multiple of 2812 and 2816

Properties of GCF 2812 and 2816

(i) The GCF of 2812 and 2816 is associative

GCF of 2812 and 2816 = GCF of 2816 and 2812

Related Greatest Common Factor of 2812

Related Greatest Common Factor of 2816

Frequently Asked Questions on GCF of 2812 and 2816

1. What is the GCF of 2812 and 2816?

Answer: GCF of 2812 and 2816 is 4.

2. What are the Factors of 2812?

Answer: Factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812. There are 12 integers that are factors of 2812. The greatest factor of 2812 is 2812.

3. What are the Factors of 2816?

Answer: Factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816. There are 18 integers that are factors of 2816. The greatest factor of 2816 is 2816.

4. How to Find the GCF of 2812 and 2816?

Answer:

Greatest Common Factor of 2812 and 2816 = 4

Step 1: Find the prime factorization of 2812

2812 = 2 x 2 x 19 x 37

Step 2: Find the prime factorization of 2816

2816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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 2812 and 2816 is 4