Greatest Common Factor of 7865 and 7867

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 7865, 7867 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7865 and 7867 is 1.

GCF(7865,7867) = 1

GCF of 7865 and 7867

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

GCF of:
and

Greatest Common Factor of 7865 and 7867

GCF of 7865 and 7867 is 1

Prime Factorization of 7865


5 7865
11 1573
11 143
13 13
1

Prime factors of 7865 are 5,11,13. Prime factorization of 7865 in exponential form is:

7865 = 51×112×131

Prime Factorization of 7867


7867 7867
1

Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:

7867 = 78671

∴ So by taking common prime factors GCF of 7865 and 7867 is 1

Greatest Common Factor of 7865 and 7867 by matching factors method

Factors of 7865

List of positive integer factors of 7865 that divides 7865 without a remainder.

1,5,11,13,55,65,121,143,605,715,1573,7865

Factors of 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1,7867

Greatest Common Factor

We found the factors and prime factorization of 7865 and 7867. The biggest common factor number is the GCF number.
So the greatest common factor 7865 and 7867 is 1.

Also check out the Least Common Multiple of 7865 and 7867

Properties of GCF 7865 and 7867

(i) The GCF of 7865 and 7867 is associative

GCF of 7865 and 7867 = GCF of 7867 and 7865

Frequently Asked Questions on GCF of 7865 and 7867

1. What is the GCF of 7865 and 7867?

Answer: GCF of 7865 and 7867 is 1.

2. What are the Factors of 7865?

Answer: Factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865. There are 12 integers that are factors of 7865. The greatest factor of 7865 is 7865.

3. What are the Factors of 7867?

Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.

4. How to Find the GCF of 7865 and 7867?

Answer:

Greatest Common Factor of 7865 and 7867 = 1

Step 1: Find the prime factorization of 7865

7865 = 5 x 11 x 11 x 13

Step 2: Find the prime factorization of 7867

7867 = 7867

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 7865 and 7867 is 1