Greatest Common Factor of 7120 and 7122

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 7120, 7122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7120 and 7122 is 2.

GCF(7120,7122) = 2

GCF of 7120 and 7122

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

GCF of:
and

Greatest Common Factor of 7120 and 7122

GCF of 7120 and 7122 is 2

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

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2,3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

∴ So by taking common prime factors GCF of 7120 and 7122 is 2

Greatest Common Factor of 7120 and 7122 by matching factors method

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

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors and prime factorization of 7120 and 7122. The biggest common factor number is the GCF number.
So the greatest common factor 7120 and 7122 is 2.

Also check out the Least Common Multiple of 7120 and 7122

Properties of GCF 7120 and 7122

(i) The GCF of 7120 and 7122 is associative

GCF of 7120 and 7122 = GCF of 7122 and 7120

Related Greatest Common Factor of 7120

Related Greatest Common Factor of 7122

Frequently Asked Questions on GCF of 7120 and 7122

1. What is the GCF of 7120 and 7122?

Answer: GCF of 7120 and 7122 is 2.

2. 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.

3. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

4. How to Find the GCF of 7120 and 7122?

Answer:

Greatest Common Factor of 7120 and 7122 = 2

Step 1: Find the prime factorization of 7120

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

Step 2: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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 7120 and 7122 is 2