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 7534, 7536 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7534 and 7536 is 2.
GCF(7534,7536) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7534
2 | 7534 |
3767 | 3767 |
1 |
Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:
7534 = 21×37671
Prime Factorization of 7536
2 | 7536 |
2 | 3768 |
2 | 1884 |
2 | 942 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 7536 are 2,3,157. Prime factorization of 7536 in exponential form is:
7536 = 24×31×1571
∴ So by taking common prime factors GCF of 7534 and 7536 is 2
Factors of 7534
List of positive integer factors of 7534 that divides 7534 without a remainder.
1,2,3767,7534
Factors of 7536
List of positive integer factors of 7536 that divides 7536 without a remainder.
1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors and prime factorization of 7534 and 7536. The biggest common factor number is the GCF number.
So the greatest common factor 7534 and 7536 is 2.
Also check out the Least Common Multiple of 7534 and 7536
(i) The GCF of 7534 and 7536 is associative
GCF of 7534 and 7536 = GCF of 7536 and 7534
1. What is the GCF of 7534 and 7536?
Answer: GCF of 7534 and 7536 is 2.
2. What are the Factors of 7534?
Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.
3. What are the Factors of 7536?
Answer: Factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536. There are 20 integers that are factors of 7536. The greatest factor of 7536 is 7536.
4. How to Find the GCF of 7534 and 7536?
Answer:
Greatest Common Factor of 7534 and 7536 = 2
Step 1: Find the prime factorization of 7534
7534 = 2 x 3767
Step 2: Find the prime factorization of 7536
7536 = 2 x 2 x 2 x 2 x 3 x 157
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 7534 and 7536 is 2