Greatest Common Factor of 10052 and 10053

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 10052, 10053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10052 and 10053 is 1.

GCF(10052,10053) = 1

GCF of 10052 and 10053

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

GCF of:
and

Greatest Common Factor of 10052 and 10053

GCF of 10052 and 10053 is 1

Prime Factorization of 10052


2 10052
2 5026
7 2513
359 359
1

Prime factors of 10052 are 2,7,359. Prime factorization of 10052 in exponential form is:

10052 = 22×71×3591

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

∴ So by taking common prime factors GCF of 10052 and 10053 is 1

Greatest Common Factor of 10052 and 10053 by matching factors method

Factors of 10052

List of positive integer factors of 10052 that divides 10052 without a remainder.

1,2,4,7,14,28,359,718,1436,2513,5026,10052

Factors of 10053

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

1,3,9,1117,3351,10053

Greatest Common Factor

We found the factors and prime factorization of 10052 and 10053. The biggest common factor number is the GCF number.
So the greatest common factor 10052 and 10053 is 1.

Also check out the Least Common Multiple of 10052 and 10053

Properties of GCF 10052 and 10053

(i) The GCF of 10052 and 10053 is associative

GCF of 10052 and 10053 = GCF of 10053 and 10052

Related Greatest Common Factor of 10052

Related Greatest Common Factor of 10053

Frequently Asked Questions on GCF of 10052 and 10053

1. What is the GCF of 10052 and 10053?

Answer: GCF of 10052 and 10053 is 1.

2. What are the Factors of 10052?

Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.

3. 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.

4. How to Find the GCF of 10052 and 10053?

Answer:

Greatest Common Factor of 10052 and 10053 = 1

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10053

10053 = 3 x 3 x 1117

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 10052 and 10053 is 1