Greatest Common Factor of 7504 and 7508

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 7504, 7508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7504 and 7508 is 4.

GCF(7504,7508) = 4

GCF of 7504 and 7508

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

GCF of:
and

Greatest Common Factor of 7504 and 7508

GCF of 7504 and 7508 is 4

Prime Factorization of 7504


2 7504
2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 7504 are 2,7,67. Prime factorization of 7504 in exponential form is:

7504 = 24×71×671

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

∴ So by taking common prime factors GCF of 7504 and 7508 is 4

Greatest Common Factor of 7504 and 7508 by matching factors method

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Factors of 7508

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

1,2,4,1877,3754,7508

Greatest Common Factor

We found the factors and prime factorization of 7504 and 7508. The biggest common factor number is the GCF number.
So the greatest common factor 7504 and 7508 is 4.

Also check out the Least Common Multiple of 7504 and 7508

Properties of GCF 7504 and 7508

(i) The GCF of 7504 and 7508 is associative

GCF of 7504 and 7508 = GCF of 7508 and 7504

Related Greatest Common Factor of 7504

Related Greatest Common Factor of 7508

Frequently Asked Questions on GCF of 7504 and 7508

1. What is the GCF of 7504 and 7508?

Answer: GCF of 7504 and 7508 is 4.

2. What are the Factors of 7504?

Answer: Factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. There are 20 integers that are factors of 7504. The greatest factor of 7504 is 7504.

3. 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.

4. How to Find the GCF of 7504 and 7508?

Answer:

Greatest Common Factor of 7504 and 7508 = 4

Step 1: Find the prime factorization of 7504

7504 = 2 x 2 x 2 x 2 x 7 x 67

Step 2: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

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 7504 and 7508 is 4