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 7645, 7647 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7645 and 7647 is 1.
GCF(7645,7647) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7645
5 | 7645 |
11 | 1529 |
139 | 139 |
1 |
Prime factors of 7645 are 5,11,139. Prime factorization of 7645 in exponential form is:
7645 = 51×111×1391
Prime Factorization of 7647
3 | 7647 |
2549 | 2549 |
1 |
Prime factors of 7647 are 3,2549. Prime factorization of 7647 in exponential form is:
7647 = 31×25491
∴ So by taking common prime factors GCF of 7645 and 7647 is 1
Factors of 7645
List of positive integer factors of 7645 that divides 7645 without a remainder.
1,5,11,55,139,695,1529,7645
Factors of 7647
List of positive integer factors of 7647 that divides 7647 without a remainder.
1,3,2549,7647
Greatest Common Factor
We found the factors and prime factorization of 7645 and 7647. The biggest common factor number is the GCF number.
So the greatest common factor 7645 and 7647 is 1.
Also check out the Least Common Multiple of 7645 and 7647
(i) The GCF of 7645 and 7647 is associative
GCF of 7645 and 7647 = GCF of 7647 and 7645
1. What is the GCF of 7645 and 7647?
Answer: GCF of 7645 and 7647 is 1.
2. What are the Factors of 7645?
Answer: Factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645. There are 8 integers that are factors of 7645. The greatest factor of 7645 is 7645.
3. What are the Factors of 7647?
Answer: Factors of 7647 are 1, 3, 2549, 7647. There are 4 integers that are factors of 7647. The greatest factor of 7647 is 7647.
4. How to Find the GCF of 7645 and 7647?
Answer:
Greatest Common Factor of 7645 and 7647 = 1
Step 1: Find the prime factorization of 7645
7645 = 5 x 11 x 139
Step 2: Find the prime factorization of 7647
7647 = 3 x 2549
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 7645 and 7647 is 1