Greatest Common Factor of 7112 and 7118

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 7112, 7118 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7112 and 7118 is 2.

GCF(7112,7118) = 2

GCF of 7112 and 7118

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

GCF of:
and

Greatest Common Factor of 7112 and 7118

GCF of 7112 and 7118 is 2

Prime Factorization of 7112


2 7112
2 3556
2 1778
7 889
127 127
1

Prime factors of 7112 are 2,7,127. Prime factorization of 7112 in exponential form is:

7112 = 23×71×1271

Prime Factorization of 7118


2 7118
3559 3559
1

Prime factors of 7118 are 2,3559. Prime factorization of 7118 in exponential form is:

7118 = 21×35591

∴ So by taking common prime factors GCF of 7112 and 7118 is 2

Greatest Common Factor of 7112 and 7118 by matching factors method

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1,2,3559,7118

Greatest Common Factor

We found the factors and prime factorization of 7112 and 7118. The biggest common factor number is the GCF number.
So the greatest common factor 7112 and 7118 is 2.

Also check out the Least Common Multiple of 7112 and 7118

Properties of GCF 7112 and 7118

(i) The GCF of 7112 and 7118 is associative

GCF of 7112 and 7118 = GCF of 7118 and 7112

Related Greatest Common Factor of 7112

Related Greatest Common Factor of 7118

Frequently Asked Questions on GCF of 7112 and 7118

1. What is the GCF of 7112 and 7118?

Answer: GCF of 7112 and 7118 is 2.

2. What are the Factors of 7112?

Answer: Factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112. There are 16 integers that are factors of 7112. The greatest factor of 7112 is 7112.

3. What are the Factors of 7118?

Answer: Factors of 7118 are 1, 2, 3559, 7118. There are 4 integers that are factors of 7118. The greatest factor of 7118 is 7118.

4. How to Find the GCF of 7112 and 7118?

Answer:

Greatest Common Factor of 7112 and 7118 = 2

Step 1: Find the prime factorization of 7112

7112 = 2 x 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 7118

7118 = 2 x 3559

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 7112 and 7118 is 2