Greatest Common Factor of 4844 and 4851

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 4844, 4851 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4844 and 4851 is 7.

GCF(4844,4851) = 7

GCF of 4844 and 4851

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

GCF of:
and

Greatest Common Factor of 4844 and 4851

GCF of 4844 and 4851 is 7

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2,7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

Prime Factorization of 4851


3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 4851 are 3,7,11. Prime factorization of 4851 in exponential form is:

4851 = 32×72×111

∴ So by taking common prime factors GCF of 4844 and 4851 is 7

Greatest Common Factor of 4844 and 4851 by matching factors method

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851

Greatest Common Factor

We found the factors and prime factorization of 4844 and 4851. The biggest common factor number is the GCF number.
So the greatest common factor 4844 and 4851 is 7.

Also check out the Least Common Multiple of 4844 and 4851

Properties of GCF 4844 and 4851

(i) The GCF of 4844 and 4851 is associative

GCF of 4844 and 4851 = GCF of 4851 and 4844

Related Greatest Common Factor of 4844

Related Greatest Common Factor of 4851

Frequently Asked Questions on GCF of 4844 and 4851

1. What is the GCF of 4844 and 4851?

Answer: GCF of 4844 and 4851 is 7.

2. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

3. What are the Factors of 4851?

Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.

4. How to Find the GCF of 4844 and 4851?

Answer:

Greatest Common Factor of 4844 and 4851 = 7

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4851

4851 = 3 x 3 x 7 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4844 and 4851 is 7