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 7648, 7652 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7648 and 7652 is 4.
GCF(7648,7652) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7652
2 | 7652 |
2 | 3826 |
1913 | 1913 |
1 |
Prime factors of 7652 are 2,1913. Prime factorization of 7652 in exponential form is:
7652 = 22×19131
∴ So by taking common prime factors GCF of 7648 and 7652 is 4
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
Factors of 7652
List of positive integer factors of 7652 that divides 7652 without a remainder.
1,2,4,1913,3826,7652
Greatest Common Factor
We found the factors and prime factorization of 7648 and 7652. The biggest common factor number is the GCF number.
So the greatest common factor 7648 and 7652 is 4.
Also check out the Least Common Multiple of 7648 and 7652
(i) The GCF of 7648 and 7652 is associative
GCF of 7648 and 7652 = GCF of 7652 and 7648
1. What is the GCF of 7648 and 7652?
Answer: GCF of 7648 and 7652 is 4.
2. 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.
3. What are the Factors of 7652?
Answer: Factors of 7652 are 1, 2, 4, 1913, 3826, 7652. There are 6 integers that are factors of 7652. The greatest factor of 7652 is 7652.
4. How to Find the GCF of 7648 and 7652?
Answer:
Greatest Common Factor of 7648 and 7652 = 4
Step 1: Find the prime factorization of 7648
7648 = 2 x 2 x 2 x 2 x 2 x 239
Step 2: Find the prime factorization of 7652
7652 = 2 x 2 x 1913
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7648 and 7652 is 4