Greatest Common Factor of 7120 and 7125

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, 7125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7120 and 7125 is 5.

GCF(7120,7125) = 5

GCF of 7120 and 7125

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

GCF of:
and

Greatest Common Factor of 7120 and 7125

GCF of 7120 and 7125 is 5

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 7125


3 7125
5 2375
5 475
5 95
19 19
1

Prime factors of 7125 are 3,5,19. Prime factorization of 7125 in exponential form is:

7125 = 31×53×191

∴ So by taking common prime factors GCF of 7120 and 7125 is 5

Greatest Common Factor of 7120 and 7125 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 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Greatest Common Factor

We found the factors and prime factorization of 7120 and 7125. The biggest common factor number is the GCF number.
So the greatest common factor 7120 and 7125 is 5.

Also check out the Least Common Multiple of 7120 and 7125

Properties of GCF 7120 and 7125

(i) The GCF of 7120 and 7125 is associative

GCF of 7120 and 7125 = GCF of 7125 and 7120

Related Greatest Common Factor of 7120

Related Greatest Common Factor of 7125

Frequently Asked Questions on GCF of 7120 and 7125

1. What is the GCF of 7120 and 7125?

Answer: GCF of 7120 and 7125 is 5.

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 7125?

Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.

4. How to Find the GCF of 7120 and 7125?

Answer:

Greatest Common Factor of 7120 and 7125 = 5

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 7125

7125 = 3 x 5 x 5 x 5 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7120 and 7125 is 5