Greatest Common Factor of 8114 and 8120

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 8114, 8120 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8114 and 8120 is 2.

GCF(8114,8120) = 2

GCF of 8114 and 8120

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

GCF of:
and

Greatest Common Factor of 8114 and 8120

GCF of 8114 and 8120 is 2

Prime Factorization of 8114


2 8114
4057 4057
1

Prime factors of 8114 are 2,4057. Prime factorization of 8114 in exponential form is:

8114 = 21×40571

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

∴ So by taking common prime factors GCF of 8114 and 8120 is 2

Greatest Common Factor of 8114 and 8120 by matching factors method

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1,2,4057,8114

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

Greatest Common Factor

We found the factors and prime factorization of 8114 and 8120. The biggest common factor number is the GCF number.
So the greatest common factor 8114 and 8120 is 2.

Also check out the Least Common Multiple of 8114 and 8120

Properties of GCF 8114 and 8120

(i) The GCF of 8114 and 8120 is associative

GCF of 8114 and 8120 = GCF of 8120 and 8114

Related Greatest Common Factor of 8114

Related Greatest Common Factor of 8120

Frequently Asked Questions on GCF of 8114 and 8120

1. What is the GCF of 8114 and 8120?

Answer: GCF of 8114 and 8120 is 2.

2. What are the Factors of 8114?

Answer: Factors of 8114 are 1, 2, 4057, 8114. There are 4 integers that are factors of 8114. The greatest factor of 8114 is 8114.

3. 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.

4. How to Find the GCF of 8114 and 8120?

Answer:

Greatest Common Factor of 8114 and 8120 = 2

Step 1: Find the prime factorization of 8114

8114 = 2 x 4057

Step 2: Find the prime factorization of 8120

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

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 8114 and 8120 is 2