Greatest Common Factor of 8134 and 8140

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

Greatest common factor (GCF) of 8134 and 8140 is 2.

GCF(8134,8140) = 2

GCF of 8134 and 8140

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

GCF of:
and

Greatest Common Factor of 8134 and 8140

GCF of 8134 and 8140 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 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

∴ So by taking common prime factors GCF of 8134 and 8140 is 2

Greatest Common Factor of 8134 and 8140 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 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

Greatest Common Factor

We found the factors and prime factorization of 8134 and 8140. The biggest common factor number is the GCF number.
So the greatest common factor 8134 and 8140 is 2.

Also check out the Least Common Multiple of 8134 and 8140

Properties of GCF 8134 and 8140

(i) The GCF of 8134 and 8140 is associative

GCF of 8134 and 8140 = GCF of 8140 and 8134

Related Greatest Common Factor of 8134

Related Greatest Common Factor of 8140

Frequently Asked Questions on GCF of 8134 and 8140

1. What is the GCF of 8134 and 8140?

Answer: GCF of 8134 and 8140 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 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.

4. How to Find the GCF of 8134 and 8140?

Answer:

Greatest Common Factor of 8134 and 8140 = 2

Step 1: Find the prime factorization of 8134

8134 = 2 x 7 x 7 x 83

Step 2: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

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 8140 is 2