Greatest Common Factor of 1052 and 1053

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 1052, 1053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1052 and 1053 is 1.

GCF(1052,1053) = 1

GCF of 1052 and 1053

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

GCF of:
and

Greatest Common Factor of 1052 and 1053

GCF of 1052 and 1053 is 1

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

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

∴ So by taking common prime factors GCF of 1052 and 1053 is 1

Greatest Common Factor of 1052 and 1053 by matching factors method

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1,2,4,263,526,1052

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

Greatest Common Factor

We found the factors and prime factorization of 1052 and 1053. The biggest common factor number is the GCF number.
So the greatest common factor 1052 and 1053 is 1.

Also check out the Least Common Multiple of 1052 and 1053

Properties of GCF 1052 and 1053

(i) The GCF of 1052 and 1053 is associative

GCF of 1052 and 1053 = GCF of 1053 and 1052

Related Greatest Common Factor of 1052

Related Greatest Common Factor of 1053

Frequently Asked Questions on GCF of 1052 and 1053

1. What is the GCF of 1052 and 1053?

Answer: GCF of 1052 and 1053 is 1.

2. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

3. 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.

4. How to Find the GCF of 1052 and 1053?

Answer:

Greatest Common Factor of 1052 and 1053 = 1

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

Step 2: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

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 1052 and 1053 is 1