Greatest Common Factor of 8084 and 8092

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 8084, 8092 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8084 and 8092 is 4.

GCF(8084,8092) = 4

GCF of 8084 and 8092

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

GCF of:
and

Greatest Common Factor of 8084 and 8092

GCF of 8084 and 8092 is 4

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2,43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

Prime Factorization of 8092


2 8092
2 4046
7 2023
17 289
17 17
1

Prime factors of 8092 are 2,7,17. Prime factorization of 8092 in exponential form is:

8092 = 22×71×172

∴ So by taking common prime factors GCF of 8084 and 8092 is 4

Greatest Common Factor of 8084 and 8092 by matching factors method

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092

Greatest Common Factor

We found the factors and prime factorization of 8084 and 8092. The biggest common factor number is the GCF number.
So the greatest common factor 8084 and 8092 is 4.

Also check out the Least Common Multiple of 8084 and 8092

Properties of GCF 8084 and 8092

(i) The GCF of 8084 and 8092 is associative

GCF of 8084 and 8092 = GCF of 8092 and 8084

Related Greatest Common Factor of 8084

Related Greatest Common Factor of 8092

Frequently Asked Questions on GCF of 8084 and 8092

1. What is the GCF of 8084 and 8092?

Answer: GCF of 8084 and 8092 is 4.

2. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

3. What are the Factors of 8092?

Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.

4. How to Find the GCF of 8084 and 8092?

Answer:

Greatest Common Factor of 8084 and 8092 = 4

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8092

8092 = 2 x 2 x 7 x 17 x 17

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 8084 and 8092 is 4