Greatest Common Factor of 8140 and 8144

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 8140, 8144 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8140 and 8144 is 4.

GCF(8140,8144) = 4

GCF of 8140 and 8144

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

GCF of:
and

Greatest Common Factor of 8140 and 8144

GCF of 8140 and 8144 is 4

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

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

∴ So by taking common prime factors GCF of 8140 and 8144 is 4

Greatest Common Factor of 8140 and 8144 by matching factors method

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

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Greatest Common Factor

We found the factors and prime factorization of 8140 and 8144. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8144 is 4.

Also check out the Least Common Multiple of 8140 and 8144

Properties of GCF 8140 and 8144

(i) The GCF of 8140 and 8144 is associative

GCF of 8140 and 8144 = GCF of 8144 and 8140

Related Greatest Common Factor of 8140

Related Greatest Common Factor of 8144

Frequently Asked Questions on GCF of 8140 and 8144

1. What is the GCF of 8140 and 8144?

Answer: GCF of 8140 and 8144 is 4.

2. 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.

3. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

4. How to Find the GCF of 8140 and 8144?

Answer:

Greatest Common Factor of 8140 and 8144 = 4

Step 1: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

Step 2: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

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 8140 and 8144 is 4