Greatest Common Factor of 849 and 857

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 849, 857 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 849 and 857 is 1.

GCF(849,857) = 1

GCF of 849 and 857

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

GCF of:
and

Greatest Common Factor of 849 and 857

GCF of 849 and 857 is 1

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

Prime Factorization of 857


857 857
1

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 8571

∴ So by taking common prime factors GCF of 849 and 857 is 1

Greatest Common Factor of 849 and 857 by matching factors method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors and prime factorization of 849 and 857. The biggest common factor number is the GCF number.
So the greatest common factor 849 and 857 is 1.

Also check out the Least Common Multiple of 849 and 857

Properties of GCF 849 and 857

(i) The GCF of 849 and 857 is associative

GCF of 849 and 857 = GCF of 857 and 849

Related Greatest Common Factor of 849

Related Greatest Common Factor of 857

Frequently Asked Questions on GCF of 849 and 857

1. What is the GCF of 849 and 857?

Answer: GCF of 849 and 857 is 1.

2. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

3. What are the Factors of 857?

Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.

4. How to Find the GCF of 849 and 857?

Answer:

Greatest Common Factor of 849 and 857 = 1

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 857

857 = 857

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 849 and 857 is 1