Greatest Common Factor of 8126 and 8134

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 8126, 8134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8126 and 8134 is 2.

GCF(8126,8134) = 2

GCF of 8126 and 8134

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

GCF of:
and

Greatest Common Factor of 8126 and 8134

GCF of 8126 and 8134 is 2

Prime Factorization of 8126


2 8126
17 4063
239 239
1

Prime factors of 8126 are 2,17,239. Prime factorization of 8126 in exponential form is:

8126 = 21×171×2391

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

∴ So by taking common prime factors GCF of 8126 and 8134 is 2

Greatest Common Factor of 8126 and 8134 by matching factors method

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

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

Greatest Common Factor

We found the factors and prime factorization of 8126 and 8134. The biggest common factor number is the GCF number.
So the greatest common factor 8126 and 8134 is 2.

Also check out the Least Common Multiple of 8126 and 8134

Properties of GCF 8126 and 8134

(i) The GCF of 8126 and 8134 is associative

GCF of 8126 and 8134 = GCF of 8134 and 8126

Related Greatest Common Factor of 8126

Related Greatest Common Factor of 8134

Frequently Asked Questions on GCF of 8126 and 8134

1. What is the GCF of 8126 and 8134?

Answer: GCF of 8126 and 8134 is 2.

2. What are the Factors of 8126?

Answer: Factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126. There are 8 integers that are factors of 8126. The greatest factor of 8126 is 8126.

3. 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.

4. How to Find the GCF of 8126 and 8134?

Answer:

Greatest Common Factor of 8126 and 8134 = 2

Step 1: Find the prime factorization of 8126

8126 = 2 x 17 x 239

Step 2: Find the prime factorization of 8134

8134 = 2 x 7 x 7 x 83

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 8126 and 8134 is 2