Greatest Common Factor of 8037 and 8044

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 8037, 8044 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8037 and 8044 is 1.

GCF(8037,8044) = 1

GCF of 8037 and 8044

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

GCF of:
and

Greatest Common Factor of 8037 and 8044

GCF of 8037 and 8044 is 1

Prime Factorization of 8037


3 8037
3 2679
19 893
47 47
1

Prime factors of 8037 are 3,19,47. Prime factorization of 8037 in exponential form is:

8037 = 32×191×471

Prime Factorization of 8044


2 8044
2 4022
2011 2011
1

Prime factors of 8044 are 2,2011. Prime factorization of 8044 in exponential form is:

8044 = 22×20111

∴ So by taking common prime factors GCF of 8037 and 8044 is 1

Greatest Common Factor of 8037 and 8044 by matching factors method

Factors of 8037

List of positive integer factors of 8037 that divides 8037 without a remainder.

1,3,9,19,47,57,141,171,423,893,2679,8037

Factors of 8044

List of positive integer factors of 8044 that divides 8044 without a remainder.

1,2,4,2011,4022,8044

Greatest Common Factor

We found the factors and prime factorization of 8037 and 8044. The biggest common factor number is the GCF number.
So the greatest common factor 8037 and 8044 is 1.

Also check out the Least Common Multiple of 8037 and 8044

Properties of GCF 8037 and 8044

(i) The GCF of 8037 and 8044 is associative

GCF of 8037 and 8044 = GCF of 8044 and 8037

Related Greatest Common Factor of 8037

Related Greatest Common Factor of 8044

Frequently Asked Questions on GCF of 8037 and 8044

1. What is the GCF of 8037 and 8044?

Answer: GCF of 8037 and 8044 is 1.

2. What are the Factors of 8037?

Answer: Factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037. There are 12 integers that are factors of 8037. The greatest factor of 8037 is 8037.

3. What are the Factors of 8044?

Answer: Factors of 8044 are 1, 2, 4, 2011, 4022, 8044. There are 6 integers that are factors of 8044. The greatest factor of 8044 is 8044.

4. How to Find the GCF of 8037 and 8044?

Answer:

Greatest Common Factor of 8037 and 8044 = 1

Step 1: Find the prime factorization of 8037

8037 = 3 x 3 x 19 x 47

Step 2: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 8037 and 8044 is 1