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, 7506 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7504 and 7506 is 2.
GCF(7504,7506) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 7506
2 | 7506 |
3 | 3753 |
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 7506 are 2,3,139. Prime factorization of 7506 in exponential form is:
7506 = 21×33×1391
∴ So by taking common prime factors GCF of 7504 and 7506 is 2
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 7506
List of positive integer factors of 7506 that divides 7506 without a remainder.
1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors and prime factorization of 7504 and 7506. The biggest common factor number is the GCF number.
So the greatest common factor 7504 and 7506 is 2.
Also check out the Least Common Multiple of 7504 and 7506
(i) The GCF of 7504 and 7506 is associative
GCF of 7504 and 7506 = GCF of 7506 and 7504
1. What is the GCF of 7504 and 7506?
Answer: GCF of 7504 and 7506 is 2.
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 7506?
Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.
4. How to Find the GCF of 7504 and 7506?
Answer:
Greatest Common Factor of 7504 and 7506 = 2
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 7506
7506 = 2 x 3 x 3 x 3 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7504 and 7506 is 2