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 3619, 3625 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3619 and 3625 is 1.
GCF(3619,3625) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3619
7 | 3619 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 3619 are 7,11,47. Prime factorization of 3619 in exponential form is:
3619 = 71×111×471
Prime Factorization of 3625
5 | 3625 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 3625 are 5,29. Prime factorization of 3625 in exponential form is:
3625 = 53×291
∴ So by taking common prime factors GCF of 3619 and 3625 is 1
Factors of 3619
List of positive integer factors of 3619 that divides 3619 without a remainder.
1,7,11,47,77,329,517,3619
Factors of 3625
List of positive integer factors of 3625 that divides 3625 without a remainder.
1,5,25,29,125,145,725,3625
Greatest Common Factor
We found the factors and prime factorization of 3619 and 3625. The biggest common factor number is the GCF number.
So the greatest common factor 3619 and 3625 is 1.
Also check out the Least Common Multiple of 3619 and 3625
(i) The GCF of 3619 and 3625 is associative
GCF of 3619 and 3625 = GCF of 3625 and 3619
1. What is the GCF of 3619 and 3625?
Answer: GCF of 3619 and 3625 is 1.
2. What are the Factors of 3619?
Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.
3. What are the Factors of 3625?
Answer: Factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625. There are 8 integers that are factors of 3625. The greatest factor of 3625 is 3625.
4. How to Find the GCF of 3619 and 3625?
Answer:
Greatest Common Factor of 3619 and 3625 = 1
Step 1: Find the prime factorization of 3619
3619 = 7 x 11 x 47
Step 2: Find the prime factorization of 3625
3625 = 5 x 5 x 5 x 29
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 3619 and 3625 is 1