Greatest Common Factor of 5530 and 5537
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 5530, 5537 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5530 and 5537 is 7.
GCF(5530,5537) = 7
GCF of 5530 and 5537
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 5530 and 5537 by prime factorization method
- Greatest Common Factor of 5530 and 5537 by matching factors method
GCF of 5530 and 5537 is 7
Prime Factorization of 5530
| 2 | 5530 |
| 5 | 2765 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 5530 are 2,5,7,79. Prime factorization of 5530 in exponential form is:
5530 = 21×51×71×791
Prime Factorization of 5537
| 7 | 5537 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:
5537 = 72×1131
∴ So by taking common prime factors GCF of 5530 and 5537 is 7
Greatest Common Factor of 5530 and 5537 by matching factors method
Factors of 5530
List of positive integer factors of 5530 that divides 5530 without a remainder.
1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1,7,49,113,791,5537
Greatest Common Factor
We found the factors and prime factorization of 5530 and 5537. The biggest common factor number is the GCF number.
So the greatest common factor 5530 and 5537 is 7.
Also check out the Least Common Multiple of 5530 and 5537
Properties of GCF 5530 and 5537
(i) The GCF of 5530 and 5537 is associative
GCF of 5530 and 5537 = GCF of 5537 and 5530
Related Greatest Common Factor of 5530
Related Greatest Common Factor of 5537
Frequently Asked Questions on GCF of 5530 and 5537
1. What is the GCF of 5530 and 5537?
Answer: GCF of 5530 and 5537 is 7.
2. What are the Factors of 5530?
Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.
3. What are the Factors of 5537?
Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.
4. How to Find the GCF of 5530 and 5537?
Answer:
Greatest Common Factor of 5530 and 5537 = 7
Step 1: Find the prime factorization of 5530
5530 = 2 x 5 x 7 x 79
Step 2: Find the prime factorization of 5537
5537 = 7 x 7 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 5530 and 5537 is 7