Greatest Common Factor of 1053 and 1058

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 1053, 1058 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1053 and 1058 is 1.

GCF(1053,1058) = 1

GCF of 1053 and 1058

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

GCF of:
and

Greatest Common Factor of 1053 and 1058

GCF of 1053 and 1058 is 1

Prime Factorization of 1053


3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 1053 are 3,13. Prime factorization of 1053 in exponential form is:

1053 = 34×131

Prime Factorization of 1058


2 1058
23 529
23 23
1

Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:

1058 = 21×232

∴ So by taking common prime factors GCF of 1053 and 1058 is 1

Greatest Common Factor of 1053 and 1058 by matching factors method

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Factors of 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1,2,23,46,529,1058

Greatest Common Factor

We found the factors and prime factorization of 1053 and 1058. The biggest common factor number is the GCF number.
So the greatest common factor 1053 and 1058 is 1.

Also check out the Least Common Multiple of 1053 and 1058

Properties of GCF 1053 and 1058

(i) The GCF of 1053 and 1058 is associative

GCF of 1053 and 1058 = GCF of 1058 and 1053

Related Greatest Common Factor of 1053

Related Greatest Common Factor of 1058

Frequently Asked Questions on GCF of 1053 and 1058

1. What is the GCF of 1053 and 1058?

Answer: GCF of 1053 and 1058 is 1.

2. What are the Factors of 1053?

Answer: Factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053. There are 10 integers that are factors of 1053. The greatest factor of 1053 is 1053.

3. What are the Factors of 1058?

Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.

4. How to Find the GCF of 1053 and 1058?

Answer:

Greatest Common Factor of 1053 and 1058 = 1

Step 1: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 1058

1058 = 2 x 23 x 23

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 1053 and 1058 is 1