Greatest Common Factor of 6852 and 6860

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 6852, 6860 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6852 and 6860 is 4.

GCF(6852,6860) = 4

GCF of 6852 and 6860

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

GCF of:
and

Greatest Common Factor of 6852 and 6860

GCF of 6852 and 6860 is 4

Prime Factorization of 6852


2 6852
2 3426
3 1713
571 571
1

Prime factors of 6852 are 2,3,571. Prime factorization of 6852 in exponential form is:

6852 = 22×31×5711

Prime Factorization of 6860


2 6860
2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 6860 are 2,5,7. Prime factorization of 6860 in exponential form is:

6860 = 22×51×73

∴ So by taking common prime factors GCF of 6852 and 6860 is 4

Greatest Common Factor of 6852 and 6860 by matching factors method

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors and prime factorization of 6852 and 6860. The biggest common factor number is the GCF number.
So the greatest common factor 6852 and 6860 is 4.

Also check out the Least Common Multiple of 6852 and 6860

Properties of GCF 6852 and 6860

(i) The GCF of 6852 and 6860 is associative

GCF of 6852 and 6860 = GCF of 6860 and 6852

Related Greatest Common Factor of 6852

Related Greatest Common Factor of 6860

Frequently Asked Questions on GCF of 6852 and 6860

1. What is the GCF of 6852 and 6860?

Answer: GCF of 6852 and 6860 is 4.

2. What are the Factors of 6852?

Answer: Factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852. There are 12 integers that are factors of 6852. The greatest factor of 6852 is 6852.

3. What are the Factors of 6860?

Answer: Factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860. There are 24 integers that are factors of 6860. The greatest factor of 6860 is 6860.

4. How to Find the GCF of 6852 and 6860?

Answer:

Greatest Common Factor of 6852 and 6860 = 4

Step 1: Find the prime factorization of 6852

6852 = 2 x 2 x 3 x 571

Step 2: Find the prime factorization of 6860

6860 = 2 x 2 x 5 x 7 x 7 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6852 and 6860 is 4