Greatest Common Factor of 8120 and 8124

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, 8124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8120 and 8124 is 4.

GCF(8120,8124) = 4

GCF of 8120 and 8124

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

GCF of:
and

Greatest Common Factor of 8120 and 8124

GCF of 8120 and 8124 is 4

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 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2,3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

∴ So by taking common prime factors GCF of 8120 and 8124 is 4

Greatest Common Factor of 8120 and 8124 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 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors and prime factorization of 8120 and 8124. The biggest common factor number is the GCF number.
So the greatest common factor 8120 and 8124 is 4.

Also check out the Least Common Multiple of 8120 and 8124

Properties of GCF 8120 and 8124

(i) The GCF of 8120 and 8124 is associative

GCF of 8120 and 8124 = GCF of 8124 and 8120

Related Greatest Common Factor of 8120

Related Greatest Common Factor of 8124

Frequently Asked Questions on GCF of 8120 and 8124

1. What is the GCF of 8120 and 8124?

Answer: GCF of 8120 and 8124 is 4.

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 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

4. How to Find the GCF of 8120 and 8124?

Answer:

Greatest Common Factor of 8120 and 8124 = 4

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 8124

8124 = 2 x 2 x 3 x 677

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 8120 and 8124 is 4