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 7643, 7648 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7643 and 7648 is 1.
GCF(7643,7648) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7643
7643 | 7643 |
1 |
Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:
7643 = 76431
Prime Factorization of 7648
2 | 7648 |
2 | 3824 |
2 | 1912 |
2 | 956 |
2 | 478 |
239 | 239 |
1 |
Prime factors of 7648 are 2.Prime factorization of 7648 in exponential form is:
7648 = 25×2391
∴ So by taking common prime factors GCF of 7643 and 7648 is 1
Factors of 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1,7643
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 7643 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7643 and 7648 is 1.
Also check out the Least Common Multiple of 7643 and 7648
(i) The GCF of 7643 and 7648 is associative
GCF of 7643 and 7648 = GCF of 7648 and 7643
1. What is the GCF of 7643 and 7648?
Answer: GCF of 7643 and 7648 is 1.
2. What are the Factors of 7643?
Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.
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 7643 and 7648?
Answer:
Greatest Common Factor of 7643 and 7648 = 1
Step 1: Find the prime factorization of 7643
7643 = 7643
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 = = 1
Step 4: Therefore, the greatest common factor of 7643 and 7648 is 1