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 5604, 5607 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5604 and 5607 is 3.
GCF(5604,5607) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5604
2 | 5604 |
2 | 2802 |
3 | 1401 |
467 | 467 |
1 |
Prime factors of 5604 are 2,3,467. Prime factorization of 5604 in exponential form is:
5604 = 22×31×4671
Prime Factorization of 5607
3 | 5607 |
3 | 1869 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 5607 are 3,7,89. Prime factorization of 5607 in exponential form is:
5607 = 32×71×891
∴ So by taking common prime factors GCF of 5604 and 5607 is 3
Factors of 5604
List of positive integer factors of 5604 that divides 5604 without a remainder.
1,2,3,4,6,12,467,934,1401,1868,2802,5604
Factors of 5607
List of positive integer factors of 5607 that divides 5607 without a remainder.
1,3,7,9,21,63,89,267,623,801,1869,5607
Greatest Common Factor
We found the factors and prime factorization of 5604 and 5607. The biggest common factor number is the GCF number.
So the greatest common factor 5604 and 5607 is 3.
Also check out the Least Common Multiple of 5604 and 5607
(i) The GCF of 5604 and 5607 is associative
GCF of 5604 and 5607 = GCF of 5607 and 5604
1. What is the GCF of 5604 and 5607?
Answer: GCF of 5604 and 5607 is 3.
2. What are the Factors of 5604?
Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.
3. What are the Factors of 5607?
Answer: Factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607. There are 12 integers that are factors of 5607. The greatest factor of 5607 is 5607.
4. How to Find the GCF of 5604 and 5607?
Answer:
Greatest Common Factor of 5604 and 5607 = 3
Step 1: Find the prime factorization of 5604
5604 = 2 x 2 x 3 x 467
Step 2: Find the prime factorization of 5607
5607 = 3 x 3 x 7 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5604 and 5607 is 3