Greatest Common Factor of 6032 and 6036

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 6032, 6036 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6032 and 6036 is 4.

GCF(6032,6036) = 4

GCF of 6032 and 6036

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

GCF of:
and

Greatest Common Factor of 6032 and 6036

GCF of 6032 and 6036 is 4

Prime Factorization of 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2,13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2,3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

∴ So by taking common prime factors GCF of 6032 and 6036 is 4

Greatest Common Factor of 6032 and 6036 by matching factors method

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Greatest Common Factor

We found the factors and prime factorization of 6032 and 6036. The biggest common factor number is the GCF number.
So the greatest common factor 6032 and 6036 is 4.

Also check out the Least Common Multiple of 6032 and 6036

Properties of GCF 6032 and 6036

(i) The GCF of 6032 and 6036 is associative

GCF of 6032 and 6036 = GCF of 6036 and 6032

Related Greatest Common Factor of 6032

Related Greatest Common Factor of 6036

Frequently Asked Questions on GCF of 6032 and 6036

1. What is the GCF of 6032 and 6036?

Answer: GCF of 6032 and 6036 is 4.

2. What are the Factors of 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

3. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

4. How to Find the GCF of 6032 and 6036?

Answer:

Greatest Common Factor of 6032 and 6036 = 4

Step 1: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

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 6032 and 6036 is 4