Greatest Common Factor of 4849 and 4857

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 4849, 4857 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4849 and 4857 is 1.

GCF(4849,4857) = 1

GCF of 4849 and 4857

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

GCF of:
and

Greatest Common Factor of 4849 and 4857

GCF of 4849 and 4857 is 1

Prime Factorization of 4849


13 4849
373 373
1

Prime factors of 4849 are 13,373. Prime factorization of 4849 in exponential form is:

4849 = 131×3731

Prime Factorization of 4857


3 4857
1619 1619
1

Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:

4857 = 31×16191

∴ So by taking common prime factors GCF of 4849 and 4857 is 1

Greatest Common Factor of 4849 and 4857 by matching factors method

Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1,13,373,4849

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1,3,1619,4857

Greatest Common Factor

We found the factors and prime factorization of 4849 and 4857. The biggest common factor number is the GCF number.
So the greatest common factor 4849 and 4857 is 1.

Also check out the Least Common Multiple of 4849 and 4857

Properties of GCF 4849 and 4857

(i) The GCF of 4849 and 4857 is associative

GCF of 4849 and 4857 = GCF of 4857 and 4849

Frequently Asked Questions on GCF of 4849 and 4857

1. What is the GCF of 4849 and 4857?

Answer: GCF of 4849 and 4857 is 1.

2. What are the Factors of 4849?

Answer: Factors of 4849 are 1, 13, 373, 4849. There are 4 integers that are factors of 4849. The greatest factor of 4849 is 4849.

3. What are the Factors of 4857?

Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.

4. How to Find the GCF of 4849 and 4857?

Answer:

Greatest Common Factor of 4849 and 4857 = 1

Step 1: Find the prime factorization of 4849

4849 = 13 x 373

Step 2: Find the prime factorization of 4857

4857 = 3 x 1619

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 4849 and 4857 is 1