Greatest Common Factor of 11076 and 11084

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 11076, 11084 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11076 and 11084 is 4.

GCF(11076,11084) = 4

GCF of 11076 and 11084

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

GCF of:
and

Greatest Common Factor of 11076 and 11084

GCF of 11076 and 11084 is 4

Prime Factorization of 11076


2 11076
2 5538
3 2769
13 923
71 71
1

Prime factors of 11076 are 2,3,13,71. Prime factorization of 11076 in exponential form is:

11076 = 22×31×131×711

Prime Factorization of 11084


2 11084
2 5542
17 2771
163 163
1

Prime factors of 11084 are 2,17,163. Prime factorization of 11084 in exponential form is:

11084 = 22×171×1631

∴ So by taking common prime factors GCF of 11076 and 11084 is 4

Greatest Common Factor of 11076 and 11084 by matching factors method

Factors of 11076

List of positive integer factors of 11076 that divides 11076 without a remainder.

1,2,3,4,6,12,13,26,39,52,71,78,142,156,213,284,426,852,923,1846,2769,3692,5538,11076

Factors of 11084

List of positive integer factors of 11084 that divides 11084 without a remainder.

1,2,4,17,34,68,163,326,652,2771,5542,11084

Greatest Common Factor

We found the factors and prime factorization of 11076 and 11084. The biggest common factor number is the GCF number.
So the greatest common factor 11076 and 11084 is 4.

Also check out the Least Common Multiple of 11076 and 11084

Properties of GCF 11076 and 11084

(i) The GCF of 11076 and 11084 is associative

GCF of 11076 and 11084 = GCF of 11084 and 11076

Related Greatest Common Factor of 11076

Related Greatest Common Factor of 11084

Frequently Asked Questions on GCF of 11076 and 11084

1. What is the GCF of 11076 and 11084?

Answer: GCF of 11076 and 11084 is 4.

2. What are the Factors of 11076?

Answer: Factors of 11076 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076. There are 24 integers that are factors of 11076. The greatest factor of 11076 is 11076.

3. What are the Factors of 11084?

Answer: Factors of 11084 are 1, 2, 4, 17, 34, 68, 163, 326, 652, 2771, 5542, 11084. There are 12 integers that are factors of 11084. The greatest factor of 11084 is 11084.

4. How to Find the GCF of 11076 and 11084?

Answer:

Greatest Common Factor of 11076 and 11084 = 4

Step 1: Find the prime factorization of 11076

11076 = 2 x 2 x 3 x 13 x 71

Step 2: Find the prime factorization of 11084

11084 = 2 x 2 x 17 x 163

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 11076 and 11084 is 4