Greatest Common Factor of 6084 and 6088

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 6084, 6088 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6084 and 6088 is 4.

GCF(6084,6088) = 4

GCF of 6084 and 6088

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

GCF of:
and

Greatest Common Factor of 6084 and 6088

GCF of 6084 and 6088 is 4

Prime Factorization of 6084


2 6084
2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 6084 are 2,3,13. Prime factorization of 6084 in exponential form is:

6084 = 22×32×132

Prime Factorization of 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

∴ So by taking common prime factors GCF of 6084 and 6088 is 4

Greatest Common Factor of 6084 and 6088 by matching factors method

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084

Factors of 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1,2,4,8,761,1522,3044,6088

Greatest Common Factor

We found the factors and prime factorization of 6084 and 6088. The biggest common factor number is the GCF number.
So the greatest common factor 6084 and 6088 is 4.

Also check out the Least Common Multiple of 6084 and 6088

Properties of GCF 6084 and 6088

(i) The GCF of 6084 and 6088 is associative

GCF of 6084 and 6088 = GCF of 6088 and 6084

Related Greatest Common Factor of 6084

Related Greatest Common Factor of 6088

Frequently Asked Questions on GCF of 6084 and 6088

1. What is the GCF of 6084 and 6088?

Answer: GCF of 6084 and 6088 is 4.

2. What are the Factors of 6084?

Answer: Factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. There are 27 integers that are factors of 6084. The greatest factor of 6084 is 6084.

3. What are the Factors of 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

4. How to Find the GCF of 6084 and 6088?

Answer:

Greatest Common Factor of 6084 and 6088 = 4

Step 1: Find the prime factorization of 6084

6084 = 2 x 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 6088

6088 = 2 x 2 x 2 x 761

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 6084 and 6088 is 4