Greatest Common Factor of 2862 and 2867

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 2862, 2867 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2862 and 2867 is 1.

GCF(2862,2867) = 1

GCF of 2862 and 2867

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

GCF of:
and

Greatest Common Factor of 2862 and 2867

GCF of 2862 and 2867 is 1

Prime Factorization of 2862


2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 2862 are 2,3,53. Prime factorization of 2862 in exponential form is:

2862 = 21×33×531

Prime Factorization of 2867


47 2867
61 61
1

Prime factors of 2867 are 47,61. Prime factorization of 2867 in exponential form is:

2867 = 471×611

∴ So by taking common prime factors GCF of 2862 and 2867 is 1

Greatest Common Factor of 2862 and 2867 by matching factors method

Factors of 2862

List of positive integer factors of 2862 that divides 2862 without a remainder.

1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1,47,61,2867

Greatest Common Factor

We found the factors and prime factorization of 2862 and 2867. The biggest common factor number is the GCF number.
So the greatest common factor 2862 and 2867 is 1.

Also check out the Least Common Multiple of 2862 and 2867

Properties of GCF 2862 and 2867

(i) The GCF of 2862 and 2867 is associative

GCF of 2862 and 2867 = GCF of 2867 and 2862

Related Greatest Common Factor of 2862

Related Greatest Common Factor of 2867

Frequently Asked Questions on GCF of 2862 and 2867

1. What is the GCF of 2862 and 2867?

Answer: GCF of 2862 and 2867 is 1.

2. What are the Factors of 2862?

Answer: Factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862. There are 16 integers that are factors of 2862. The greatest factor of 2862 is 2862.

3. What are the Factors of 2867?

Answer: Factors of 2867 are 1, 47, 61, 2867. There are 4 integers that are factors of 2867. The greatest factor of 2867 is 2867.

4. How to Find the GCF of 2862 and 2867?

Answer:

Greatest Common Factor of 2862 and 2867 = 1

Step 1: Find the prime factorization of 2862

2862 = 2 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 2867

2867 = 47 x 61

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 2862 and 2867 is 1