Greatest Common Factor of 4858 and 4865

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 4858, 4865 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4858 and 4865 is 7.

GCF(4858,4865) = 7

GCF of 4858 and 4865

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

GCF of:
and

Greatest Common Factor of 4858 and 4865

GCF of 4858 and 4865 is 7

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

Prime Factorization of 4865


5 4865
7 973
139 139
1

Prime factors of 4865 are 5,7,139. Prime factorization of 4865 in exponential form is:

4865 = 51×71×1391

∴ So by taking common prime factors GCF of 4858 and 4865 is 7

Greatest Common Factor of 4858 and 4865 by matching factors method

Factors of 4858

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

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

Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1,5,7,35,139,695,973,4865

Greatest Common Factor

We found the factors and prime factorization of 4858 and 4865. The biggest common factor number is the GCF number.
So the greatest common factor 4858 and 4865 is 7.

Also check out the Least Common Multiple of 4858 and 4865

Properties of GCF 4858 and 4865

(i) The GCF of 4858 and 4865 is associative

GCF of 4858 and 4865 = GCF of 4865 and 4858

Related Greatest Common Factor of 4858

Related Greatest Common Factor of 4865

Frequently Asked Questions on GCF of 4858 and 4865

1. What is the GCF of 4858 and 4865?

Answer: GCF of 4858 and 4865 is 7.

2. 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.

3. What are the Factors of 4865?

Answer: Factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865. There are 8 integers that are factors of 4865. The greatest factor of 4865 is 4865.

4. How to Find the GCF of 4858 and 4865?

Answer:

Greatest Common Factor of 4858 and 4865 = 7

Step 1: Find the prime factorization of 4858

4858 = 2 x 7 x 347

Step 2: Find the prime factorization of 4865

4865 = 5 x 7 x 139

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 4858 and 4865 is 7