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 7577, 7578 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7577 and 7578 is 1.
GCF(7577,7578) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7577
7577 | 7577 |
1 |
Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:
7577 = 75771
Prime Factorization of 7578
2 | 7578 |
3 | 3789 |
3 | 1263 |
421 | 421 |
1 |
Prime factors of 7578 are 2.Prime factorization of 7578 in exponential form is:
7578 = 21×32×4211
∴ So by taking common prime factors GCF of 7577 and 7578 is 1
Factors of 7577
List of positive integer factors of 7577 that divides 7577 without a remainder.
1,7577
Factors of 7578
List of positive integer factors of 7578 that divides 7578 without a remainder.
1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors and prime factorization of 7577 and 7578. The biggest common factor number is the GCF number.
So the greatest common factor 7577 and 7578 is 1.
Also check out the Least Common Multiple of 7577 and 7578
(i) The GCF of 7577 and 7578 is associative
GCF of 7577 and 7578 = GCF of 7578 and 7577
1. What is the GCF of 7577 and 7578?
Answer: GCF of 7577 and 7578 is 1.
2. What are the Factors of 7577?
Answer: Factors of 7577 are 1, 7577. There are 2 integers that are factors of 7577. The greatest factor of 7577 is 7577.
3. What are the Factors of 7578?
Answer: Factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578. There are 12 integers that are factors of 7578. The greatest factor of 7578 is 7578.
4. How to Find the GCF of 7577 and 7578?
Answer:
Greatest Common Factor of 7577 and 7578 = 1
Step 1: Find the prime factorization of 7577
7577 = 7577
Step 2: Find the prime factorization of 7578
7578 = 2 x 3 x 3 x 421
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 7577 and 7578 is 1