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 5546, 5550 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5546 and 5550 is 2.
GCF(5546,5550) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5546
2 | 5546 |
47 | 2773 |
59 | 59 |
1 |
Prime factors of 5546 are 2,47,59. Prime factorization of 5546 in exponential form is:
5546 = 21×471×591
Prime Factorization of 5550
2 | 5550 |
3 | 2775 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 5550 are 2,3,5,37. Prime factorization of 5550 in exponential form is:
5550 = 21×31×52×371
∴ So by taking common prime factors GCF of 5546 and 5550 is 2
Factors of 5546
List of positive integer factors of 5546 that divides 5546 without a remainder.
1,2,47,59,94,118,2773,5546
Factors of 5550
List of positive integer factors of 5550 that divides 5550 without a remainder.
1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550
Greatest Common Factor
We found the factors and prime factorization of 5546 and 5550. The biggest common factor number is the GCF number.
So the greatest common factor 5546 and 5550 is 2.
Also check out the Least Common Multiple of 5546 and 5550
(i) The GCF of 5546 and 5550 is associative
GCF of 5546 and 5550 = GCF of 5550 and 5546
1. What is the GCF of 5546 and 5550?
Answer: GCF of 5546 and 5550 is 2.
2. What are the Factors of 5546?
Answer: Factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546. There are 8 integers that are factors of 5546. The greatest factor of 5546 is 5546.
3. What are the Factors of 5550?
Answer: Factors of 5550 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550. There are 24 integers that are factors of 5550. The greatest factor of 5550 is 5550.
4. How to Find the GCF of 5546 and 5550?
Answer:
Greatest Common Factor of 5546 and 5550 = 2
Step 1: Find the prime factorization of 5546
5546 = 2 x 47 x 59
Step 2: Find the prime factorization of 5550
5550 = 2 x 3 x 5 x 5 x 37
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 5546 and 5550 is 2