Greatest Common Factor of 7512 and 7515

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, 7515 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7512 and 7515 is 3.

GCF(7512,7515) = 3

GCF of 7512 and 7515

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

GCF of:
and

Greatest Common Factor of 7512 and 7515

GCF of 7512 and 7515 is 3

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 7515


3 7515
3 2505
5 835
167 167
1

Prime factors of 7515 are 3,5,167. Prime factorization of 7515 in exponential form is:

7515 = 32×51×1671

∴ So by taking common prime factors GCF of 7512 and 7515 is 3

Greatest Common Factor of 7512 and 7515 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 7515

List of positive integer factors of 7515 that divides 7515 without a remainder.

1,3,5,9,15,45,167,501,835,1503,2505,7515

Greatest Common Factor

We found the factors and prime factorization of 7512 and 7515. The biggest common factor number is the GCF number.
So the greatest common factor 7512 and 7515 is 3.

Also check out the Least Common Multiple of 7512 and 7515

Properties of GCF 7512 and 7515

(i) The GCF of 7512 and 7515 is associative

GCF of 7512 and 7515 = GCF of 7515 and 7512

Related Greatest Common Factor of 7512

Related Greatest Common Factor of 7515

Frequently Asked Questions on GCF of 7512 and 7515

1. What is the GCF of 7512 and 7515?

Answer: GCF of 7512 and 7515 is 3.

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 7515?

Answer: Factors of 7515 are 1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515. There are 12 integers that are factors of 7515. The greatest factor of 7515 is 7515.

4. How to Find the GCF of 7512 and 7515?

Answer:

Greatest Common Factor of 7512 and 7515 = 3

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 7515

7515 = 3 x 3 x 5 x 167

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7512 and 7515 is 3