Greatest Common Factor of 11072 and 11076

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 11072, 11076 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11072 and 11076 is 4.

GCF(11072,11076) = 4

GCF of 11072 and 11076

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

GCF of:
and

Greatest Common Factor of 11072 and 11076

GCF of 11072 and 11076 is 4

Prime Factorization of 11072


2 11072
2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:

11072 = 26×1731

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

∴ So by taking common prime factors GCF of 11072 and 11076 is 4

Greatest Common Factor of 11072 and 11076 by matching factors method

Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1,2,4,8,16,32,64,173,346,692,1384,2768,5536,11072

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

Greatest Common Factor

We found the factors and prime factorization of 11072 and 11076. The biggest common factor number is the GCF number.
So the greatest common factor 11072 and 11076 is 4.

Also check out the Least Common Multiple of 11072 and 11076

Properties of GCF 11072 and 11076

(i) The GCF of 11072 and 11076 is associative

GCF of 11072 and 11076 = GCF of 11076 and 11072

Related Greatest Common Factor of 11072

Related Greatest Common Factor of 11076

Frequently Asked Questions on GCF of 11072 and 11076

1. What is the GCF of 11072 and 11076?

Answer: GCF of 11072 and 11076 is 4.

2. What are the Factors of 11072?

Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.

3. 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.

4. How to Find the GCF of 11072 and 11076?

Answer:

Greatest Common Factor of 11072 and 11076 = 4

Step 1: Find the prime factorization of 11072

11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 11076

11076 = 2 x 2 x 3 x 13 x 71

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 11072 and 11076 is 4