Greatest Common Factor of 4811 and 4816

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 4811, 4816 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4811 and 4816 is 1.

GCF(4811,4816) = 1

GCF of 4811 and 4816

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

GCF of:
and

Greatest Common Factor of 4811 and 4816

GCF of 4811 and 4816 is 1

Prime Factorization of 4811


17 4811
283 283
1

Prime factors of 4811 are 17,283. Prime factorization of 4811 in exponential form is:

4811 = 171×2831

Prime Factorization of 4816


2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 4816 are 2,7,43. Prime factorization of 4816 in exponential form is:

4816 = 24×71×431

∴ So by taking common prime factors GCF of 4811 and 4816 is 1

Greatest Common Factor of 4811 and 4816 by matching factors method

Factors of 4811

List of positive integer factors of 4811 that divides 4811 without a remainder.

1,17,283,4811

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Greatest Common Factor

We found the factors and prime factorization of 4811 and 4816. The biggest common factor number is the GCF number.
So the greatest common factor 4811 and 4816 is 1.

Also check out the Least Common Multiple of 4811 and 4816

Properties of GCF 4811 and 4816

(i) The GCF of 4811 and 4816 is associative

GCF of 4811 and 4816 = GCF of 4816 and 4811

Frequently Asked Questions on GCF of 4811 and 4816

1. What is the GCF of 4811 and 4816?

Answer: GCF of 4811 and 4816 is 1.

2. What are the Factors of 4811?

Answer: Factors of 4811 are 1, 17, 283, 4811. There are 4 integers that are factors of 4811. The greatest factor of 4811 is 4811.

3. What are the Factors of 4816?

Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.

4. How to Find the GCF of 4811 and 4816?

Answer:

Greatest Common Factor of 4811 and 4816 = 1

Step 1: Find the prime factorization of 4811

4811 = 17 x 283

Step 2: Find the prime factorization of 4816

4816 = 2 x 2 x 2 x 2 x 7 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4811 and 4816 is 1