Greatest Common Factor of 4874 and 4882

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 4874, 4882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4874 and 4882 is 2.

GCF(4874,4882) = 2

GCF of 4874 and 4882

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

GCF of:
and

Greatest Common Factor of 4874 and 4882

GCF of 4874 and 4882 is 2

Prime Factorization of 4874


2 4874
2437 2437
1

Prime factors of 4874 are 2,2437. Prime factorization of 4874 in exponential form is:

4874 = 21×24371

Prime Factorization of 4882


2 4882
2441 2441
1

Prime factors of 4882 are 2,2441. Prime factorization of 4882 in exponential form is:

4882 = 21×24411

∴ So by taking common prime factors GCF of 4874 and 4882 is 2

Greatest Common Factor of 4874 and 4882 by matching factors method

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1,2,2437,4874

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1,2,2441,4882

Greatest Common Factor

We found the factors and prime factorization of 4874 and 4882. The biggest common factor number is the GCF number.
So the greatest common factor 4874 and 4882 is 2.

Also check out the Least Common Multiple of 4874 and 4882

Properties of GCF 4874 and 4882

(i) The GCF of 4874 and 4882 is associative

GCF of 4874 and 4882 = GCF of 4882 and 4874

Related Greatest Common Factor of 4874

Related Greatest Common Factor of 4882

Frequently Asked Questions on GCF of 4874 and 4882

1. What is the GCF of 4874 and 4882?

Answer: GCF of 4874 and 4882 is 2.

2. What are the Factors of 4874?

Answer: Factors of 4874 are 1, 2, 2437, 4874. There are 4 integers that are factors of 4874. The greatest factor of 4874 is 4874.

3. What are the Factors of 4882?

Answer: Factors of 4882 are 1, 2, 2441, 4882. There are 4 integers that are factors of 4882. The greatest factor of 4882 is 4882.

4. How to Find the GCF of 4874 and 4882?

Answer:

Greatest Common Factor of 4874 and 4882 = 2

Step 1: Find the prime factorization of 4874

4874 = 2 x 2437

Step 2: Find the prime factorization of 4882

4882 = 2 x 2441

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4874 and 4882 is 2