Greatest Common Factor of 8134 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 8134, 8142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8134 and 8142 is 2.

GCF(8134,8142) = 2

GCF of 8134 and 8142

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

GCF of:
and

Greatest Common Factor of 8134 and 8142

GCF of 8134 and 8142 is 2

Prime Factorization of 8134


2 8134
7 4067
7 581
83 83
1

Prime factors of 8134 are 2,7,83. Prime factorization of 8134 in exponential form is:

8134 = 21×72×831

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 8134 and 8142 is 2

Greatest Common Factor of 8134 and 8142 by matching factors method

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

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 8134 and 8142. The biggest common factor number is the GCF number.
So the greatest common factor 8134 and 8142 is 2.

Also check out the Least Common Multiple of 8134 and 8142

Properties of GCF 8134 and 8142

(i) The GCF of 8134 and 8142 is associative

GCF of 8134 and 8142 = GCF of 8142 and 8134

Related Greatest Common Factor of 8134

Related Greatest Common Factor of 8142

Frequently Asked Questions on GCF of 8134 and 8142

1. What is the GCF of 8134 and 8142?

Answer: GCF of 8134 and 8142 is 2.

2. What are the Factors of 8134?

Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.

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 8134 and 8142?

Answer:

Greatest Common Factor of 8134 and 8142 = 2

Step 1: Find the prime factorization of 8134

8134 = 2 x 7 x 7 x 83

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 8134 and 8142 is 2