Greatest Common Factor of 862 and 866

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 862, 866 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 862 and 866 is 2.

GCF(862,866) = 2

GCF of 862 and 866

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

GCF of:
and

Greatest Common Factor of 862 and 866

GCF of 862 and 866 is 2

Prime Factorization of 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

Prime Factorization of 866


2 866
433 433
1

Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:

866 = 21×4331

∴ So by taking common prime factors GCF of 862 and 866 is 2

Greatest Common Factor of 862 and 866 by matching factors method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors and prime factorization of 862 and 866. The biggest common factor number is the GCF number.
So the greatest common factor 862 and 866 is 2.

Also check out the Least Common Multiple of 862 and 866

Properties of GCF 862 and 866

(i) The GCF of 862 and 866 is associative

GCF of 862 and 866 = GCF of 866 and 862

Related Greatest Common Factor of 862

Related Greatest Common Factor of 866

Frequently Asked Questions on GCF of 862 and 866

1. What is the GCF of 862 and 866?

Answer: GCF of 862 and 866 is 2.

2. What are the Factors of 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

3. What are the Factors of 866?

Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.

4. How to Find the GCF of 862 and 866?

Answer:

Greatest Common Factor of 862 and 866 = 2

Step 1: Find the prime factorization of 862

862 = 2 x 431

Step 2: Find the prime factorization of 866

866 = 2 x 433

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 862 and 866 is 2