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 7640, 7648 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7640 and 7648 is 8.
GCF(7640,7648) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7640
2 | 7640 |
2 | 3820 |
2 | 1910 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 7640 are 2,5,191. Prime factorization of 7640 in exponential form is:
7640 = 23×51×1911
Prime Factorization of 7648
2 | 7648 |
2 | 3824 |
2 | 1912 |
2 | 956 |
2 | 478 |
239 | 239 |
1 |
Prime factors of 7648 are 2,239. Prime factorization of 7648 in exponential form is:
7648 = 25×2391
∴ So by taking common prime factors GCF of 7640 and 7648 is 8
Factors of 7640
List of positive integer factors of 7640 that divides 7640 without a remainder.
1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Factors of 7648
List of positive integer factors of 7648 that divides 7648 without a remainder.
1,2,4,8,16,32,239,478,956,1912,3824,7648
Greatest Common Factor
We found the factors and prime factorization of 7640 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7640 and 7648 is 8.
Also check out the Least Common Multiple of 7640 and 7648
(i) The GCF of 7640 and 7648 is associative
GCF of 7640 and 7648 = GCF of 7648 and 7640
1. What is the GCF of 7640 and 7648?
Answer: GCF of 7640 and 7648 is 8.
2. What are the Factors of 7640?
Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.
3. What are the Factors of 7648?
Answer: Factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648. There are 12 integers that are factors of 7648. The greatest factor of 7648 is 7648.
4. How to Find the GCF of 7640 and 7648?
Answer:
Greatest Common Factor of 7640 and 7648 = 8
Step 1: Find the prime factorization of 7640
7640 = 2 x 2 x 2 x 5 x 191
Step 2: Find the prime factorization of 7648
7648 = 2 x 2 x 2 x 2 x 2 x 239
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 7640 and 7648 is 8