Greatest Common Factor of 10052 and 10058

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, 10058 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10052 and 10058 is 2.

GCF(10052,10058) = 2

GCF of 10052 and 10058

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

GCF of:
and

Greatest Common Factor of 10052 and 10058

GCF of 10052 and 10058 is 2

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 10058


2 10058
47 5029
107 107
1

Prime factors of 10058 are 2,47,107. Prime factorization of 10058 in exponential form is:

10058 = 21×471×1071

∴ So by taking common prime factors GCF of 10052 and 10058 is 2

Greatest Common Factor of 10052 and 10058 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 10058

List of positive integer factors of 10058 that divides 10058 without a remainder.

1,2,47,94,107,214,5029,10058

Greatest Common Factor

We found the factors and prime factorization of 10052 and 10058. The biggest common factor number is the GCF number.
So the greatest common factor 10052 and 10058 is 2.

Also check out the Least Common Multiple of 10052 and 10058

Properties of GCF 10052 and 10058

(i) The GCF of 10052 and 10058 is associative

GCF of 10052 and 10058 = GCF of 10058 and 10052

Related Greatest Common Factor of 10052

Related Greatest Common Factor of 10058

Frequently Asked Questions on GCF of 10052 and 10058

1. What is the GCF of 10052 and 10058?

Answer: GCF of 10052 and 10058 is 2.

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 10058?

Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.

4. How to Find the GCF of 10052 and 10058?

Answer:

Greatest Common Factor of 10052 and 10058 = 2

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10058

10058 = 2 x 47 x 107

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10052 and 10058 is 2