Greatest Common Factor of 8132 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 8132, 8140 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8132 and 8140 is 4.

GCF(8132,8140) = 4

GCF of 8132 and 8140

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

GCF of:
and

Greatest Common Factor of 8132 and 8140

GCF of 8132 and 8140 is 4

Prime Factorization of 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2,19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

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 8132 and 8140 is 4

Greatest Common Factor of 8132 and 8140 by matching factors method

Factors of 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1,2,4,19,38,76,107,214,428,2033,4066,8132

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 8132 and 8140. The biggest common factor number is the GCF number.
So the greatest common factor 8132 and 8140 is 4.

Also check out the Least Common Multiple of 8132 and 8140

Properties of GCF 8132 and 8140

(i) The GCF of 8132 and 8140 is associative

GCF of 8132 and 8140 = GCF of 8140 and 8132

Related Greatest Common Factor of 8132

Related Greatest Common Factor of 8140

Frequently Asked Questions on GCF of 8132 and 8140

1. What is the GCF of 8132 and 8140?

Answer: GCF of 8132 and 8140 is 4.

2. What are the Factors of 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

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 8132 and 8140?

Answer:

Greatest Common Factor of 8132 and 8140 = 4

Step 1: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 8132 and 8140 is 4