Greatest Common Factor of 7053 and 7059

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 7053, 7059 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7053 and 7059 is 3.

GCF(7053,7059) = 3

GCF of 7053 and 7059

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

GCF of:
and

Greatest Common Factor of 7053 and 7059

GCF of 7053 and 7059 is 3

Prime Factorization of 7053


3 7053
2351 2351
1

Prime factors of 7053 are 3,2351. Prime factorization of 7053 in exponential form is:

7053 = 31×23511

Prime Factorization of 7059


3 7059
13 2353
181 181
1

Prime factors of 7059 are 3,13,181. Prime factorization of 7059 in exponential form is:

7059 = 31×131×1811

∴ So by taking common prime factors GCF of 7053 and 7059 is 3

Greatest Common Factor of 7053 and 7059 by matching factors method

Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1,3,2351,7053

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Greatest Common Factor

We found the factors and prime factorization of 7053 and 7059. The biggest common factor number is the GCF number.
So the greatest common factor 7053 and 7059 is 3.

Also check out the Least Common Multiple of 7053 and 7059

Properties of GCF 7053 and 7059

(i) The GCF of 7053 and 7059 is associative

GCF of 7053 and 7059 = GCF of 7059 and 7053

Related Greatest Common Factor of 7053

Related Greatest Common Factor of 7059

Frequently Asked Questions on GCF of 7053 and 7059

1. What is the GCF of 7053 and 7059?

Answer: GCF of 7053 and 7059 is 3.

2. What are the Factors of 7053?

Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.

3. What are the Factors of 7059?

Answer: Factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059. There are 8 integers that are factors of 7059. The greatest factor of 7059 is 7059.

4. How to Find the GCF of 7053 and 7059?

Answer:

Greatest Common Factor of 7053 and 7059 = 3

Step 1: Find the prime factorization of 7053

7053 = 3 x 2351

Step 2: Find the prime factorization of 7059

7059 = 3 x 13 x 181

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 7053 and 7059 is 3