Greatest Common Factor of 8140 and 8142

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 8140, 8142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8140 and 8142 is 2.

GCF(8140,8142) = 2

GCF of 8140 and 8142

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

GCF of:
and

Greatest Common Factor of 8140 and 8142

GCF of 8140 and 8142 is 2

Prime Factorization of 8140


2 8140
2 4070
5 2035
11 407
37 37
1

Prime factors of 8140 are 2,5,11,37. Prime factorization of 8140 in exponential form is:

8140 = 22×51×111×371

Prime Factorization of 8142


2 8142
3 4071
23 1357
59 59
1

Prime factors of 8142 are 2,3,23,59. Prime factorization of 8142 in exponential form is:

8142 = 21×31×231×591

∴ So by taking common prime factors GCF of 8140 and 8142 is 2

Greatest Common Factor of 8140 and 8142 by matching factors method

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors and prime factorization of 8140 and 8142. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8142 is 2.

Also check out the Least Common Multiple of 8140 and 8142

Properties of GCF 8140 and 8142

(i) The GCF of 8140 and 8142 is associative

GCF of 8140 and 8142 = GCF of 8142 and 8140

Related Greatest Common Factor of 8140

Related Greatest Common Factor of 8142

Frequently Asked Questions on GCF of 8140 and 8142

1. What is the GCF of 8140 and 8142?

Answer: GCF of 8140 and 8142 is 2.

2. What are the Factors of 8140?

Answer: Factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140. There are 24 integers that are factors of 8140. The greatest factor of 8140 is 8140.

3. What are the Factors of 8142?

Answer: Factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142. There are 16 integers that are factors of 8142. The greatest factor of 8142 is 8142.

4. How to Find the GCF of 8140 and 8142?

Answer:

Greatest Common Factor of 8140 and 8142 = 2

Step 1: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

Step 2: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

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 8140 and 8142 is 2