Greatest Common Factor of 11064 and 11068

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, 11068 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11064 and 11068 is 4.

GCF(11064,11068) = 4

GCF of 11064 and 11068

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

GCF of:
and

Greatest Common Factor of 11064 and 11068

GCF of 11064 and 11068 is 4

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 11068


2 11068
2 5534
2767 2767
1

Prime factors of 11068 are 2,2767. Prime factorization of 11068 in exponential form is:

11068 = 22×27671

∴ So by taking common prime factors GCF of 11064 and 11068 is 4

Greatest Common Factor of 11064 and 11068 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 11068

List of positive integer factors of 11068 that divides 11068 without a remainder.

1,2,4,2767,5534,11068

Greatest Common Factor

We found the factors and prime factorization of 11064 and 11068. The biggest common factor number is the GCF number.
So the greatest common factor 11064 and 11068 is 4.

Also check out the Least Common Multiple of 11064 and 11068

Properties of GCF 11064 and 11068

(i) The GCF of 11064 and 11068 is associative

GCF of 11064 and 11068 = GCF of 11068 and 11064

Related Greatest Common Factor of 11064

Related Greatest Common Factor of 11068

Frequently Asked Questions on GCF of 11064 and 11068

1. What is the GCF of 11064 and 11068?

Answer: GCF of 11064 and 11068 is 4.

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 11068?

Answer: Factors of 11068 are 1, 2, 4, 2767, 5534, 11068. There are 6 integers that are factors of 11068. The greatest factor of 11068 is 11068.

4. How to Find the GCF of 11064 and 11068?

Answer:

Greatest Common Factor of 11064 and 11068 = 4

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 11068

11068 = 2 x 2 x 2767

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 11064 and 11068 is 4