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 5594, 5602 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5594 and 5602 is 2.
GCF(5594,5602) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5594
2 | 5594 |
2797 | 2797 |
1 |
Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:
5594 = 21×27971
Prime Factorization of 5602
2 | 5602 |
2801 | 2801 |
1 |
Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:
5602 = 21×28011
∴ So by taking common prime factors GCF of 5594 and 5602 is 2
Factors of 5594
List of positive integer factors of 5594 that divides 5594 without a remainder.
1,2,2797,5594
Factors of 5602
List of positive integer factors of 5602 that divides 5602 without a remainder.
1,2,2801,5602
Greatest Common Factor
We found the factors and prime factorization of 5594 and 5602. The biggest common factor number is the GCF number.
So the greatest common factor 5594 and 5602 is 2.
Also check out the Least Common Multiple of 5594 and 5602
(i) The GCF of 5594 and 5602 is associative
GCF of 5594 and 5602 = GCF of 5602 and 5594
1. What is the GCF of 5594 and 5602?
Answer: GCF of 5594 and 5602 is 2.
2. What are the Factors of 5594?
Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.
3. What are the Factors of 5602?
Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.
4. How to Find the GCF of 5594 and 5602?
Answer:
Greatest Common Factor of 5594 and 5602 = 2
Step 1: Find the prime factorization of 5594
5594 = 2 x 2797
Step 2: Find the prime factorization of 5602
5602 = 2 x 2801
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5594 and 5602 is 2