Greatest Common Factor of 7512 and 7520

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 7512, 7520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7512 and 7520 is 8.

GCF(7512,7520) = 8

GCF of 7512 and 7520

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

GCF of:
and

Greatest Common Factor of 7512 and 7520

GCF of 7512 and 7520 is 8

Prime Factorization of 7512


2 7512
2 3756
2 1878
3 939
313 313
1

Prime factors of 7512 are 2,3,313. Prime factorization of 7512 in exponential form is:

7512 = 23×31×3131

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

∴ So by taking common prime factors GCF of 7512 and 7520 is 8

Greatest Common Factor of 7512 and 7520 by matching factors method

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

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

Greatest Common Factor

We found the factors and prime factorization of 7512 and 7520. The biggest common factor number is the GCF number.
So the greatest common factor 7512 and 7520 is 8.

Also check out the Least Common Multiple of 7512 and 7520

Properties of GCF 7512 and 7520

(i) The GCF of 7512 and 7520 is associative

GCF of 7512 and 7520 = GCF of 7520 and 7512

Related Greatest Common Factor of 7512

Related Greatest Common Factor of 7520

Frequently Asked Questions on GCF of 7512 and 7520

1. What is the GCF of 7512 and 7520?

Answer: GCF of 7512 and 7520 is 8.

2. What are the Factors of 7512?

Answer: Factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512. There are 16 integers that are factors of 7512. The greatest factor of 7512 is 7512.

3. 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.

4. How to Find the GCF of 7512 and 7520?

Answer:

Greatest Common Factor of 7512 and 7520 = 8

Step 1: Find the prime factorization of 7512

7512 = 2 x 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 7520

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

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 7512 and 7520 is 8