Greatest Common Factor of 11064 and 11070

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 11064, 11070 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11064 and 11070 is 6.

GCF(11064,11070) = 6

GCF of 11064 and 11070

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

GCF of:
and

Greatest Common Factor of 11064 and 11070

GCF of 11064 and 11070 is 6

Prime Factorization of 11064


2 11064
2 5532
2 2766
3 1383
461 461
1

Prime factors of 11064 are 2,3,461. Prime factorization of 11064 in exponential form is:

11064 = 23×31×4611

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

∴ So by taking common prime factors GCF of 11064 and 11070 is 6

Greatest Common Factor of 11064 and 11070 by matching factors method

Factors of 11064

List of positive integer factors of 11064 that divides 11064 without a remainder.

1,2,3,4,6,8,12,24,461,922,1383,1844,2766,3688,5532,11064

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

Greatest Common Factor

We found the factors and prime factorization of 11064 and 11070. The biggest common factor number is the GCF number.
So the greatest common factor 11064 and 11070 is 6.

Also check out the Least Common Multiple of 11064 and 11070

Properties of GCF 11064 and 11070

(i) The GCF of 11064 and 11070 is associative

GCF of 11064 and 11070 = GCF of 11070 and 11064

Related Greatest Common Factor of 11064

Related Greatest Common Factor of 11070

Frequently Asked Questions on GCF of 11064 and 11070

1. What is the GCF of 11064 and 11070?

Answer: GCF of 11064 and 11070 is 6.

2. What are the Factors of 11064?

Answer: Factors of 11064 are 1, 2, 3, 4, 6, 8, 12, 24, 461, 922, 1383, 1844, 2766, 3688, 5532, 11064. There are 16 integers that are factors of 11064. The greatest factor of 11064 is 11064.

3. 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.

4. How to Find the GCF of 11064 and 11070?

Answer:

Greatest Common Factor of 11064 and 11070 = 6

Step 1: Find the prime factorization of 11064

11064 = 2 x 2 x 2 x 3 x 461

Step 2: Find the prime factorization of 11070

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

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 11064 and 11070 is 6