Greatest Common Factor of 7038 and 7045

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 7038, 7045 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7038 and 7045 is 1.

GCF(7038,7045) = 1

GCF of 7038 and 7045

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

GCF of:
and

Greatest Common Factor of 7038 and 7045

GCF of 7038 and 7045 is 1

Prime Factorization of 7038


2 7038
3 3519
3 1173
17 391
23 23
1

Prime factors of 7038 are 2,3,17,23. Prime factorization of 7038 in exponential form is:

7038 = 21×32×171×231

Prime Factorization of 7045


5 7045
1409 1409
1

Prime factors of 7045 are 5,1409. Prime factorization of 7045 in exponential form is:

7045 = 51×14091

∴ So by taking common prime factors GCF of 7038 and 7045 is 1

Greatest Common Factor of 7038 and 7045 by matching factors method

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1,5,1409,7045

Greatest Common Factor

We found the factors and prime factorization of 7038 and 7045. The biggest common factor number is the GCF number.
So the greatest common factor 7038 and 7045 is 1.

Also check out the Least Common Multiple of 7038 and 7045

Properties of GCF 7038 and 7045

(i) The GCF of 7038 and 7045 is associative

GCF of 7038 and 7045 = GCF of 7045 and 7038

Related Greatest Common Factor of 7038

Related Greatest Common Factor of 7045

Frequently Asked Questions on GCF of 7038 and 7045

1. What is the GCF of 7038 and 7045?

Answer: GCF of 7038 and 7045 is 1.

2. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

3. What are the Factors of 7045?

Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.

4. How to Find the GCF of 7038 and 7045?

Answer:

Greatest Common Factor of 7038 and 7045 = 1

Step 1: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 7045

7045 = 5 x 1409

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 7038 and 7045 is 1