Greatest Common Factor of 11052 and 11060

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, 11060 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11052 and 11060 is 4.

GCF(11052,11060) = 4

GCF of 11052 and 11060

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

GCF of:
and

Greatest Common Factor of 11052 and 11060

GCF of 11052 and 11060 is 4

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 11060


2 11060
2 5530
5 2765
7 553
79 79
1

Prime factors of 11060 are 2,5,7,79. Prime factorization of 11060 in exponential form is:

11060 = 22×51×71×791

∴ So by taking common prime factors GCF of 11052 and 11060 is 4

Greatest Common Factor of 11052 and 11060 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 11060

List of positive integer factors of 11060 that divides 11060 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,79,140,158,316,395,553,790,1106,1580,2212,2765,5530,11060

Greatest Common Factor

We found the factors and prime factorization of 11052 and 11060. The biggest common factor number is the GCF number.
So the greatest common factor 11052 and 11060 is 4.

Also check out the Least Common Multiple of 11052 and 11060

Properties of GCF 11052 and 11060

(i) The GCF of 11052 and 11060 is associative

GCF of 11052 and 11060 = GCF of 11060 and 11052

Related Greatest Common Factor of 11052

Related Greatest Common Factor of 11060

Frequently Asked Questions on GCF of 11052 and 11060

1. What is the GCF of 11052 and 11060?

Answer: GCF of 11052 and 11060 is 4.

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 11060?

Answer: Factors of 11060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 79, 140, 158, 316, 395, 553, 790, 1106, 1580, 2212, 2765, 5530, 11060. There are 24 integers that are factors of 11060. The greatest factor of 11060 is 11060.

4. How to Find the GCF of 11052 and 11060?

Answer:

Greatest Common Factor of 11052 and 11060 = 4

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 11060

11060 = 2 x 2 x 5 x 7 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 11052 and 11060 is 4