Greatest Common Factor of 11052 and 11058

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 11052, 11058 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11052 and 11058 is 6.

GCF(11052,11058) = 6

GCF of 11052 and 11058

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

GCF of:
and

Greatest Common Factor of 11052 and 11058

GCF of 11052 and 11058 is 6

Prime Factorization of 11052


2 11052
2 5526
3 2763
3 921
307 307
1

Prime factors of 11052 are 2,3,307. Prime factorization of 11052 in exponential form is:

11052 = 22×32×3071

Prime Factorization of 11058


2 11058
3 5529
19 1843
97 97
1

Prime factors of 11058 are 2,3,19,97. Prime factorization of 11058 in exponential form is:

11058 = 21×31×191×971

∴ So by taking common prime factors GCF of 11052 and 11058 is 6

Greatest Common Factor of 11052 and 11058 by matching factors method

Factors of 11052

List of positive integer factors of 11052 that divides 11052 without a remainder.

1,2,3,4,6,9,12,18,36,307,614,921,1228,1842,2763,3684,5526,11052

Factors of 11058

List of positive integer factors of 11058 that divides 11058 without a remainder.

1,2,3,6,19,38,57,97,114,194,291,582,1843,3686,5529,11058

Greatest Common Factor

We found the factors and prime factorization of 11052 and 11058. The biggest common factor number is the GCF number.
So the greatest common factor 11052 and 11058 is 6.

Also check out the Least Common Multiple of 11052 and 11058

Properties of GCF 11052 and 11058

(i) The GCF of 11052 and 11058 is associative

GCF of 11052 and 11058 = GCF of 11058 and 11052

Related Greatest Common Factor of 11052

Related Greatest Common Factor of 11058

Frequently Asked Questions on GCF of 11052 and 11058

1. What is the GCF of 11052 and 11058?

Answer: GCF of 11052 and 11058 is 6.

2. What are the Factors of 11052?

Answer: Factors of 11052 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 11052. There are 18 integers that are factors of 11052. The greatest factor of 11052 is 11052.

3. What are the Factors of 11058?

Answer: Factors of 11058 are 1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529, 11058. There are 16 integers that are factors of 11058. The greatest factor of 11058 is 11058.

4. How to Find the GCF of 11052 and 11058?

Answer:

Greatest Common Factor of 11052 and 11058 = 6

Step 1: Find the prime factorization of 11052

11052 = 2 x 2 x 3 x 3 x 307

Step 2: Find the prime factorization of 11058

11058 = 2 x 3 x 19 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 11052 and 11058 is 6