Greatest Common Factor of 11077 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 11077, 11084 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11077 and 11084 is 1.

GCF(11077,11084) = 1

GCF of 11077 and 11084

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

GCF of:
and

Greatest Common Factor of 11077 and 11084

GCF of 11077 and 11084 is 1

Prime Factorization of 11077


11 11077
19 1007
53 53
1

Prime factors of 11077 are 11,19,53. Prime factorization of 11077 in exponential form is:

11077 = 111×191×531

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 11077 and 11084 is 1

Greatest Common Factor of 11077 and 11084 by matching factors method

Factors of 11077

List of positive integer factors of 11077 that divides 11077 without a remainder.

1,11,19,53,209,583,1007,11077

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 11077 and 11084. The biggest common factor number is the GCF number.
So the greatest common factor 11077 and 11084 is 1.

Also check out the Least Common Multiple of 11077 and 11084

Properties of GCF 11077 and 11084

(i) The GCF of 11077 and 11084 is associative

GCF of 11077 and 11084 = GCF of 11084 and 11077

Related Greatest Common Factor of 11077

Related Greatest Common Factor of 11084

Frequently Asked Questions on GCF of 11077 and 11084

1. What is the GCF of 11077 and 11084?

Answer: GCF of 11077 and 11084 is 1.

2. What are the Factors of 11077?

Answer: Factors of 11077 are 1, 11, 19, 53, 209, 583, 1007, 11077. There are 8 integers that are factors of 11077. The greatest factor of 11077 is 11077.

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 11077 and 11084?

Answer:

Greatest Common Factor of 11077 and 11084 = 1

Step 1: Find the prime factorization of 11077

11077 = 11 x 19 x 53

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 = = 1

Step 4: Therefore, the greatest common factor of 11077 and 11084 is 1