Greatest Common Factor of 11074 and 11080

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 11074, 11080 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11074 and 11080 is 2.

GCF(11074,11080) = 2

GCF of 11074 and 11080

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

GCF of:
and

Greatest Common Factor of 11074 and 11080

GCF of 11074 and 11080 is 2

Prime Factorization of 11074


2 11074
7 5537
7 791
113 113
1

Prime factors of 11074 are 2,7,113. Prime factorization of 11074 in exponential form is:

11074 = 21×72×1131

Prime Factorization of 11080


2 11080
2 5540
2 2770
5 1385
277 277
1

Prime factors of 11080 are 2,5,277. Prime factorization of 11080 in exponential form is:

11080 = 23×51×2771

∴ So by taking common prime factors GCF of 11074 and 11080 is 2

Greatest Common Factor of 11074 and 11080 by matching factors method

Factors of 11074

List of positive integer factors of 11074 that divides 11074 without a remainder.

1,2,7,14,49,98,113,226,791,1582,5537,11074

Factors of 11080

List of positive integer factors of 11080 that divides 11080 without a remainder.

1,2,4,5,8,10,20,40,277,554,1108,1385,2216,2770,5540,11080

Greatest Common Factor

We found the factors and prime factorization of 11074 and 11080. The biggest common factor number is the GCF number.
So the greatest common factor 11074 and 11080 is 2.

Also check out the Least Common Multiple of 11074 and 11080

Properties of GCF 11074 and 11080

(i) The GCF of 11074 and 11080 is associative

GCF of 11074 and 11080 = GCF of 11080 and 11074

Related Greatest Common Factor of 11074

Related Greatest Common Factor of 11080

Frequently Asked Questions on GCF of 11074 and 11080

1. What is the GCF of 11074 and 11080?

Answer: GCF of 11074 and 11080 is 2.

2. What are the Factors of 11074?

Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.

3. What are the Factors of 11080?

Answer: Factors of 11080 are 1, 2, 4, 5, 8, 10, 20, 40, 277, 554, 1108, 1385, 2216, 2770, 5540, 11080. There are 16 integers that are factors of 11080. The greatest factor of 11080 is 11080.

4. How to Find the GCF of 11074 and 11080?

Answer:

Greatest Common Factor of 11074 and 11080 = 2

Step 1: Find the prime factorization of 11074

11074 = 2 x 7 x 7 x 113

Step 2: Find the prime factorization of 11080

11080 = 2 x 2 x 2 x 5 x 277

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

GCF = 2

Step 4: Therefore, the greatest common factor of 11074 and 11080 is 2