Greatest Common Factor of 8037 and 8042

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, 8042 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8037 and 8042 is 1.

GCF(8037,8042) = 1

GCF of 8037 and 8042

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

GCF of:
and

Greatest Common Factor of 8037 and 8042

GCF of 8037 and 8042 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 8042


2 8042
4021 4021
1

Prime factors of 8042 are 2,4021. Prime factorization of 8042 in exponential form is:

8042 = 21×40211

∴ So by taking common prime factors GCF of 8037 and 8042 is 1

Greatest Common Factor of 8037 and 8042 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 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1,2,4021,8042

Greatest Common Factor

We found the factors and prime factorization of 8037 and 8042. The biggest common factor number is the GCF number.
So the greatest common factor 8037 and 8042 is 1.

Also check out the Least Common Multiple of 8037 and 8042

Properties of GCF 8037 and 8042

(i) The GCF of 8037 and 8042 is associative

GCF of 8037 and 8042 = GCF of 8042 and 8037

Related Greatest Common Factor of 8037

Related Greatest Common Factor of 8042

Frequently Asked Questions on GCF of 8037 and 8042

1. What is the GCF of 8037 and 8042?

Answer: GCF of 8037 and 8042 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 8042?

Answer: Factors of 8042 are 1, 2, 4021, 8042. There are 4 integers that are factors of 8042. The greatest factor of 8042 is 8042.

4. How to Find the GCF of 8037 and 8042?

Answer:

Greatest Common Factor of 8037 and 8042 = 1

Step 1: Find the prime factorization of 8037

8037 = 3 x 3 x 19 x 47

Step 2: Find the prime factorization of 8042

8042 = 2 x 4021

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 8042 is 1