Greatest Common Factor of 10053 and 10059

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 10053, 10059 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10053 and 10059 is 3.

GCF(10053,10059) = 3

GCF of 10053 and 10059

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

GCF of:
and

Greatest Common Factor of 10053 and 10059

GCF of 10053 and 10059 is 3

Prime Factorization of 10053


3 10053
3 3351
1117 1117
1

Prime factors of 10053 are 3,1117. Prime factorization of 10053 in exponential form is:

10053 = 32×11171

Prime Factorization of 10059


3 10059
7 3353
479 479
1

Prime factors of 10059 are 3,7,479. Prime factorization of 10059 in exponential form is:

10059 = 31×71×4791

∴ So by taking common prime factors GCF of 10053 and 10059 is 3

Greatest Common Factor of 10053 and 10059 by matching factors method

Factors of 10053

List of positive integer factors of 10053 that divides 10053 without a remainder.

1,3,9,1117,3351,10053

Factors of 10059

List of positive integer factors of 10059 that divides 10059 without a remainder.

1,3,7,21,479,1437,3353,10059

Greatest Common Factor

We found the factors and prime factorization of 10053 and 10059. The biggest common factor number is the GCF number.
So the greatest common factor 10053 and 10059 is 3.

Also check out the Least Common Multiple of 10053 and 10059

Properties of GCF 10053 and 10059

(i) The GCF of 10053 and 10059 is associative

GCF of 10053 and 10059 = GCF of 10059 and 10053

Related Greatest Common Factor of 10053

Related Greatest Common Factor of 10059

Frequently Asked Questions on GCF of 10053 and 10059

1. What is the GCF of 10053 and 10059?

Answer: GCF of 10053 and 10059 is 3.

2. What are the Factors of 10053?

Answer: Factors of 10053 are 1, 3, 9, 1117, 3351, 10053. There are 6 integers that are factors of 10053. The greatest factor of 10053 is 10053.

3. What are the Factors of 10059?

Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.

4. How to Find the GCF of 10053 and 10059?

Answer:

Greatest Common Factor of 10053 and 10059 = 3

Step 1: Find the prime factorization of 10053

10053 = 3 x 3 x 1117

Step 2: Find the prime factorization of 10059

10059 = 3 x 7 x 479

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 10053 and 10059 is 3