Greatest Common Factor of 7504 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 7504, 7512 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7504 and 7512 is 8.

GCF(7504,7512) = 8

GCF of 7504 and 7512

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

GCF of:
and

Greatest Common Factor of 7504 and 7512

GCF of 7504 and 7512 is 8

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 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 7504 and 7512 is 8

Greatest Common Factor of 7504 and 7512 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 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 7504 and 7512. The biggest common factor number is the GCF number.
So the greatest common factor 7504 and 7512 is 8.

Also check out the Least Common Multiple of 7504 and 7512

Properties of GCF 7504 and 7512

(i) The GCF of 7504 and 7512 is associative

GCF of 7504 and 7512 = GCF of 7512 and 7504

Related Greatest Common Factor of 7504

Related Greatest Common Factor of 7512

Frequently Asked Questions on GCF of 7504 and 7512

1. What is the GCF of 7504 and 7512?

Answer: GCF of 7504 and 7512 is 8.

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 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 7504 and 7512?

Answer:

Greatest Common Factor of 7504 and 7512 = 8

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 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 7504 and 7512 is 8