Greatest Common Factor of 7508 and 7512

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 7508, 7512 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7508 and 7512 is 4.

GCF(7508,7512) = 4

GCF of 7508 and 7512

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

GCF of:
and

Greatest Common Factor of 7508 and 7512

GCF of 7508 and 7512 is 4

Prime Factorization of 7508


2 7508
2 3754
1877 1877
1

Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:

7508 = 22×18771

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

∴ So by taking common prime factors GCF of 7508 and 7512 is 4

Greatest Common Factor of 7508 and 7512 by matching factors method

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1,2,4,1877,3754,7508

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

Greatest Common Factor

We found the factors and prime factorization of 7508 and 7512. The biggest common factor number is the GCF number.
So the greatest common factor 7508 and 7512 is 4.

Also check out the Least Common Multiple of 7508 and 7512

Properties of GCF 7508 and 7512

(i) The GCF of 7508 and 7512 is associative

GCF of 7508 and 7512 = GCF of 7512 and 7508

Related Greatest Common Factor of 7508

Related Greatest Common Factor of 7512

Frequently Asked Questions on GCF of 7508 and 7512

1. What is the GCF of 7508 and 7512?

Answer: GCF of 7508 and 7512 is 4.

2. What are the Factors of 7508?

Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.

3. 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.

4. How to Find the GCF of 7508 and 7512?

Answer:

Greatest Common Factor of 7508 and 7512 = 4

Step 1: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

Step 2: Find the prime factorization of 7512

7512 = 2 x 2 x 2 x 3 x 313

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7508 and 7512 is 4