Greatest Common Factor of 7112 and 7120

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, 7120 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7112 and 7120 is 8.

GCF(7112,7120) = 8

GCF of 7112 and 7120

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

GCF of:
and

Greatest Common Factor of 7112 and 7120

GCF of 7112 and 7120 is 8

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 7120


2 7120
2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 7120 are 2,5,89. Prime factorization of 7120 in exponential form is:

7120 = 24×51×891

∴ So by taking common prime factors GCF of 7112 and 7120 is 8

Greatest Common Factor of 7112 and 7120 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 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120

Greatest Common Factor

We found the factors and prime factorization of 7112 and 7120. The biggest common factor number is the GCF number.
So the greatest common factor 7112 and 7120 is 8.

Also check out the Least Common Multiple of 7112 and 7120

Properties of GCF 7112 and 7120

(i) The GCF of 7112 and 7120 is associative

GCF of 7112 and 7120 = GCF of 7120 and 7112

Related Greatest Common Factor of 7112

Related Greatest Common Factor of 7120

Frequently Asked Questions on GCF of 7112 and 7120

1. What is the GCF of 7112 and 7120?

Answer: GCF of 7112 and 7120 is 8.

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 7120?

Answer: Factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120. There are 20 integers that are factors of 7120. The greatest factor of 7120 is 7120.

4. How to Find the GCF of 7112 and 7120?

Answer:

Greatest Common Factor of 7112 and 7120 = 8

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 7120

7120 = 2 x 2 x 2 x 2 x 5 x 89

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7112 and 7120 is 8