Greatest Common Factor of 850 and 851

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 850, 851 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 850 and 851 is 1.

GCF(850,851) = 1

GCF of 850 and 851

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

GCF of:
and

Greatest Common Factor of 850 and 851

GCF of 850 and 851 is 1

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2,5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

Prime Factorization of 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

∴ So by taking common prime factors GCF of 850 and 851 is 1

Greatest Common Factor of 850 and 851 by matching factors method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors and prime factorization of 850 and 851. The biggest common factor number is the GCF number.
So the greatest common factor 850 and 851 is 1.

Also check out the Least Common Multiple of 850 and 851

Properties of GCF 850 and 851

(i) The GCF of 850 and 851 is associative

GCF of 850 and 851 = GCF of 851 and 850

Related Greatest Common Factor of 850

Related Greatest Common Factor of 851

Frequently Asked Questions on GCF of 850 and 851

1. What is the GCF of 850 and 851?

Answer: GCF of 850 and 851 is 1.

2. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

3. What are the Factors of 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

4. How to Find the GCF of 850 and 851?

Answer:

Greatest Common Factor of 850 and 851 = 1

Step 1: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 851

851 = 23 x 37

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 850 and 851 is 1