Greatest Common Factor of 11070 and 11072

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 11070, 11072 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11070 and 11072 is 2.

GCF(11070,11072) = 2

GCF of 11070 and 11072

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

GCF of:
and

Greatest Common Factor of 11070 and 11072

GCF of 11070 and 11072 is 2

Prime Factorization of 11070


2 11070
3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 11070 are 2,3,5,41. Prime factorization of 11070 in exponential form is:

11070 = 21×33×51×411

Prime Factorization of 11072


2 11072
2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:

11072 = 26×1731

∴ So by taking common prime factors GCF of 11070 and 11072 is 2

Greatest Common Factor of 11070 and 11072 by matching factors method

Factors of 11070

List of positive integer factors of 11070 that divides 11070 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,41,45,54,82,90,123,135,205,246,270,369,410,615,738,1107,1230,1845,2214,3690,5535,11070

Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1,2,4,8,16,32,64,173,346,692,1384,2768,5536,11072

Greatest Common Factor

We found the factors and prime factorization of 11070 and 11072. The biggest common factor number is the GCF number.
So the greatest common factor 11070 and 11072 is 2.

Also check out the Least Common Multiple of 11070 and 11072

Properties of GCF 11070 and 11072

(i) The GCF of 11070 and 11072 is associative

GCF of 11070 and 11072 = GCF of 11072 and 11070

Related Greatest Common Factor of 11070

Related Greatest Common Factor of 11072

Frequently Asked Questions on GCF of 11070 and 11072

1. What is the GCF of 11070 and 11072?

Answer: GCF of 11070 and 11072 is 2.

2. What are the Factors of 11070?

Answer: Factors of 11070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070. There are 32 integers that are factors of 11070. The greatest factor of 11070 is 11070.

3. What are the Factors of 11072?

Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.

4. How to Find the GCF of 11070 and 11072?

Answer:

Greatest Common Factor of 11070 and 11072 = 2

Step 1: Find the prime factorization of 11070

11070 = 2 x 3 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 11072

11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173

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 11070 and 11072 is 2