Greatest Common Factor of 8120 and 8127

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 8120, 8127 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8120 and 8127 is 7.

GCF(8120,8127) = 7

GCF of 8120 and 8127

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

GCF of:
and

Greatest Common Factor of 8120 and 8127

GCF of 8120 and 8127 is 7

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2,5,7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

Prime Factorization of 8127


3 8127
3 2709
3 903
7 301
43 43
1

Prime factors of 8127 are 3,7,43. Prime factorization of 8127 in exponential form is:

8127 = 33×71×431

∴ So by taking common prime factors GCF of 8120 and 8127 is 7

Greatest Common Factor of 8120 and 8127 by matching factors method

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Factors of 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Greatest Common Factor

We found the factors and prime factorization of 8120 and 8127. The biggest common factor number is the GCF number.
So the greatest common factor 8120 and 8127 is 7.

Also check out the Least Common Multiple of 8120 and 8127

Properties of GCF 8120 and 8127

(i) The GCF of 8120 and 8127 is associative

GCF of 8120 and 8127 = GCF of 8127 and 8120

Related Greatest Common Factor of 8120

Related Greatest Common Factor of 8127

Frequently Asked Questions on GCF of 8120 and 8127

1. What is the GCF of 8120 and 8127?

Answer: GCF of 8120 and 8127 is 7.

2. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

3. What are the Factors of 8127?

Answer: Factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127. There are 16 integers that are factors of 8127. The greatest factor of 8127 is 8127.

4. How to Find the GCF of 8120 and 8127?

Answer:

Greatest Common Factor of 8120 and 8127 = 7

Step 1: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 8127

8127 = 3 x 3 x 3 x 7 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8120 and 8127 is 7