Greatest Common Factor of 4851 and 4858

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 4851, 4858 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4851 and 4858 is 7.

GCF(4851,4858) = 7

GCF of 4851 and 4858

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

GCF of:
and

Greatest Common Factor of 4851 and 4858

GCF of 4851 and 4858 is 7

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

Prime Factorization of 4858


2 4858
7 2429
347 347
1

Prime factors of 4858 are 2,7,347. Prime factorization of 4858 in exponential form is:

4858 = 21×71×3471

∴ So by taking common prime factors GCF of 4851 and 4858 is 7

Greatest Common Factor of 4851 and 4858 by matching factors method

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

Factors of 4858

List of positive integer factors of 4858 that divides 4858 without a remainder.

1,2,7,14,347,694,2429,4858

Greatest Common Factor

We found the factors and prime factorization of 4851 and 4858. The biggest common factor number is the GCF number.
So the greatest common factor 4851 and 4858 is 7.

Also check out the Least Common Multiple of 4851 and 4858

Properties of GCF 4851 and 4858

(i) The GCF of 4851 and 4858 is associative

GCF of 4851 and 4858 = GCF of 4858 and 4851

Related Greatest Common Factor of 4851

Related Greatest Common Factor of 4858

Frequently Asked Questions on GCF of 4851 and 4858

1. What is the GCF of 4851 and 4858?

Answer: GCF of 4851 and 4858 is 7.

2. 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.

3. What are the Factors of 4858?

Answer: Factors of 4858 are 1, 2, 7, 14, 347, 694, 2429, 4858. There are 8 integers that are factors of 4858. The greatest factor of 4858 is 4858.

4. How to Find the GCF of 4851 and 4858?

Answer:

Greatest Common Factor of 4851 and 4858 = 7

Step 1: Find the prime factorization of 4851

4851 = 3 x 3 x 7 x 7 x 11

Step 2: Find the prime factorization of 4858

4858 = 2 x 7 x 347

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 4851 and 4858 is 7