Greatest Common Factor of 7520 and 7525

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 7520, 7525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7520 and 7525 is 5.

GCF(7520,7525) = 5

GCF of 7520 and 7525

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

GCF of:
and

Greatest Common Factor of 7520 and 7525

GCF of 7520 and 7525 is 5

Prime Factorization of 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2,5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Prime Factorization of 7525


5 7525
5 1505
7 301
43 43
1

Prime factors of 7525 are 5,7,43. Prime factorization of 7525 in exponential form is:

7525 = 52×71×431

∴ So by taking common prime factors GCF of 7520 and 7525 is 5

Greatest Common Factor of 7520 and 7525 by matching factors method

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520

Factors of 7525

List of positive integer factors of 7525 that divides 7525 without a remainder.

1,5,7,25,35,43,175,215,301,1075,1505,7525

Greatest Common Factor

We found the factors and prime factorization of 7520 and 7525. The biggest common factor number is the GCF number.
So the greatest common factor 7520 and 7525 is 5.

Also check out the Least Common Multiple of 7520 and 7525

Properties of GCF 7520 and 7525

(i) The GCF of 7520 and 7525 is associative

GCF of 7520 and 7525 = GCF of 7525 and 7520

Related Greatest Common Factor of 7520

Related Greatest Common Factor of 7525

Frequently Asked Questions on GCF of 7520 and 7525

1. What is the GCF of 7520 and 7525?

Answer: GCF of 7520 and 7525 is 5.

2. What are the Factors of 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

3. What are the Factors of 7525?

Answer: Factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525. There are 12 integers that are factors of 7525. The greatest factor of 7525 is 7525.

4. How to Find the GCF of 7520 and 7525?

Answer:

Greatest Common Factor of 7520 and 7525 = 5

Step 1: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 7525

7525 = 5 x 5 x 7 x 43

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 7520 and 7525 is 5