Greatest Common Factor of 8142 and 8148

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 8142, 8148 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8142 and 8148 is 6.

GCF(8142,8148) = 6

GCF of 8142 and 8148

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

GCF of:
and

Greatest Common Factor of 8142 and 8148

GCF of 8142 and 8148 is 6

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

Prime Factorization of 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2,3,7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

∴ So by taking common prime factors GCF of 8142 and 8148 is 6

Greatest Common Factor of 8142 and 8148 by matching factors method

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

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148

Greatest Common Factor

We found the factors and prime factorization of 8142 and 8148. The biggest common factor number is the GCF number.
So the greatest common factor 8142 and 8148 is 6.

Also check out the Least Common Multiple of 8142 and 8148

Properties of GCF 8142 and 8148

(i) The GCF of 8142 and 8148 is associative

GCF of 8142 and 8148 = GCF of 8148 and 8142

Related Greatest Common Factor of 8142

Related Greatest Common Factor of 8148

Frequently Asked Questions on GCF of 8142 and 8148

1. What is the GCF of 8142 and 8148?

Answer: GCF of 8142 and 8148 is 6.

2. 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.

3. What are the Factors of 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

4. How to Find the GCF of 8142 and 8148?

Answer:

Greatest Common Factor of 8142 and 8148 = 6

Step 1: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

Step 2: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8142 and 8148 is 6