Greatest Common Factor of 11064 and 11071

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, 11071 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11064 and 11071 is 1.

GCF(11064,11071) = 1

GCF of 11064 and 11071

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

GCF of:
and

Greatest Common Factor of 11064 and 11071

GCF of 11064 and 11071 is 1

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 11071


11071 11071
1

Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:

11071 = 110711

∴ So by taking common prime factors GCF of 11064 and 11071 is 1

Greatest Common Factor of 11064 and 11071 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 11071

List of positive integer factors of 11071 that divides 11071 without a remainder.

1,11071

Greatest Common Factor

We found the factors and prime factorization of 11064 and 11071. The biggest common factor number is the GCF number.
So the greatest common factor 11064 and 11071 is 1.

Also check out the Least Common Multiple of 11064 and 11071

Properties of GCF 11064 and 11071

(i) The GCF of 11064 and 11071 is associative

GCF of 11064 and 11071 = GCF of 11071 and 11064

Related Greatest Common Factor of 11064

Related Greatest Common Factor of 11071

Frequently Asked Questions on GCF of 11064 and 11071

1. What is the GCF of 11064 and 11071?

Answer: GCF of 11064 and 11071 is 1.

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 11071?

Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.

4. How to Find the GCF of 11064 and 11071?

Answer:

Greatest Common Factor of 11064 and 11071 = 1

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 11071

11071 = 11071

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 11064 and 11071 is 1