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 4545, 4550 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4545 and 4550 is 5.
GCF(4545,4550) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4545
3 | 4545 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 4545 are 3,5,101. Prime factorization of 4545 in exponential form is:
4545 = 32×51×1011
Prime Factorization of 4550
2 | 4550 |
5 | 2275 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 4550 are 2,5,7,13. Prime factorization of 4550 in exponential form is:
4550 = 21×52×71×131
∴ So by taking common prime factors GCF of 4545 and 4550 is 5
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
1,3,5,9,15,45,101,303,505,909,1515,4545
Factors of 4550
List of positive integer factors of 4550 that divides 4550 without a remainder.
1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Greatest Common Factor
We found the factors and prime factorization of 4545 and 4550. The biggest common factor number is the GCF number.
So the greatest common factor 4545 and 4550 is 5.
Also check out the Least Common Multiple of 4545 and 4550
(i) The GCF of 4545 and 4550 is associative
GCF of 4545 and 4550 = GCF of 4550 and 4545
1. What is the GCF of 4545 and 4550?
Answer: GCF of 4545 and 4550 is 5.
2. What are the Factors of 4545?
Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.
3. What are the Factors of 4550?
Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.
4. How to Find the GCF of 4545 and 4550?
Answer:
Greatest Common Factor of 4545 and 4550 = 5
Step 1: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
Step 2: Find the prime factorization of 4550
4550 = 2 x 5 x 5 x 7 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4545 and 4550 is 5