Greatest Common Factor of 7023 and 7029

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 7023, 7029 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7023 and 7029 is 3.

GCF(7023,7029) = 3

GCF of 7023 and 7029

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

GCF of:
and

Greatest Common Factor of 7023 and 7029

GCF of 7023 and 7029 is 3

Prime Factorization of 7023


3 7023
2341 2341
1

Prime factors of 7023 are 3,2341. Prime factorization of 7023 in exponential form is:

7023 = 31×23411

Prime Factorization of 7029


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3,11,71. Prime factorization of 7029 in exponential form is:

7029 = 32×111×711

∴ So by taking common prime factors GCF of 7023 and 7029 is 3

Greatest Common Factor of 7023 and 7029 by matching factors method

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1,3,9,11,33,71,99,213,639,781,2343,7029

Greatest Common Factor

We found the factors and prime factorization of 7023 and 7029. The biggest common factor number is the GCF number.
So the greatest common factor 7023 and 7029 is 3.

Also check out the Least Common Multiple of 7023 and 7029

Properties of GCF 7023 and 7029

(i) The GCF of 7023 and 7029 is associative

GCF of 7023 and 7029 = GCF of 7029 and 7023

Related Greatest Common Factor of 7023

Related Greatest Common Factor of 7029

Frequently Asked Questions on GCF of 7023 and 7029

1. What is the GCF of 7023 and 7029?

Answer: GCF of 7023 and 7029 is 3.

2. What are the Factors of 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

3. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

4. How to Find the GCF of 7023 and 7029?

Answer:

Greatest Common Factor of 7023 and 7029 = 3

Step 1: Find the prime factorization of 7023

7023 = 3 x 2341

Step 2: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7023 and 7029 is 3