Greatest Common Factor of 11071 and 11077

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 11071, 11077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11071 and 11077 is 1.

GCF(11071,11077) = 1

GCF of 11071 and 11077

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

GCF of:
and

Greatest Common Factor of 11071 and 11077

GCF of 11071 and 11077 is 1

Prime Factorization of 11071


11071 11071
1

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

11071 = 110711

Prime Factorization of 11077


11 11077
19 1007
53 53
1

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

11077 = 111×191×531

∴ So by taking common prime factors GCF of 11071 and 11077 is 1

Greatest Common Factor of 11071 and 11077 by matching factors method

Factors of 11071

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

1,11071

Factors of 11077

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

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

Greatest Common Factor

We found the factors and prime factorization of 11071 and 11077. The biggest common factor number is the GCF number.
So the greatest common factor 11071 and 11077 is 1.

Also check out the Least Common Multiple of 11071 and 11077

Properties of GCF 11071 and 11077

(i) The GCF of 11071 and 11077 is associative

GCF of 11071 and 11077 = GCF of 11077 and 11071

Related Greatest Common Factor of 11071

Related Greatest Common Factor of 11077

Frequently Asked Questions on GCF of 11071 and 11077

1. What is the GCF of 11071 and 11077?

Answer: GCF of 11071 and 11077 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 11071 and 11077?

Answer:

Greatest Common Factor of 11071 and 11077 = 1

Step 1: Find the prime factorization of 11071

11071 = 11071

Step 2: Find the prime factorization of 11077

11077 = 11 x 19 x 53

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 11071 and 11077 is 1