Greatest Common Factor of 7857 and 7860

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 7857, 7860 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7857 and 7860 is 3.

GCF(7857,7860) = 3

GCF of 7857 and 7860

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

GCF of:
and

Greatest Common Factor of 7857 and 7860

GCF of 7857 and 7860 is 3

Prime Factorization of 7857


3 7857
3 2619
3 873
3 291
97 97
1

Prime factors of 7857 are 3,97. Prime factorization of 7857 in exponential form is:

7857 = 34×971

Prime Factorization of 7860


2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 7860 are 2,3,5,131. Prime factorization of 7860 in exponential form is:

7860 = 22×31×51×1311

∴ So by taking common prime factors GCF of 7857 and 7860 is 3

Greatest Common Factor of 7857 and 7860 by matching factors method

Factors of 7857

List of positive integer factors of 7857 that divides 7857 without a remainder.

1,3,9,27,81,97,291,873,2619,7857

Factors of 7860

List of positive integer factors of 7860 that divides 7860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860

Greatest Common Factor

We found the factors and prime factorization of 7857 and 7860. The biggest common factor number is the GCF number.
So the greatest common factor 7857 and 7860 is 3.

Also check out the Least Common Multiple of 7857 and 7860

Properties of GCF 7857 and 7860

(i) The GCF of 7857 and 7860 is associative

GCF of 7857 and 7860 = GCF of 7860 and 7857

Related Greatest Common Factor of 7857

Related Greatest Common Factor of 7860

Frequently Asked Questions on GCF of 7857 and 7860

1. What is the GCF of 7857 and 7860?

Answer: GCF of 7857 and 7860 is 3.

2. What are the Factors of 7857?

Answer: Factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857. There are 10 integers that are factors of 7857. The greatest factor of 7857 is 7857.

3. What are the Factors of 7860?

Answer: Factors of 7860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860. There are 24 integers that are factors of 7860. The greatest factor of 7860 is 7860.

4. How to Find the GCF of 7857 and 7860?

Answer:

Greatest Common Factor of 7857 and 7860 = 3

Step 1: Find the prime factorization of 7857

7857 = 3 x 3 x 3 x 3 x 97

Step 2: Find the prime factorization of 7860

7860 = 2 x 2 x 3 x 5 x 131

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7857 and 7860 is 3