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 4495, 4500 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4495 and 4500 is 5.
GCF(4495,4500) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4495
5 | 4495 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 4495 are 5,29,31. Prime factorization of 4495 in exponential form is:
4495 = 51×291×311
Prime Factorization of 4500
2 | 4500 |
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 4500 are 2,3,5. Prime factorization of 4500 in exponential form is:
4500 = 22×32×53
∴ So by taking common prime factors GCF of 4495 and 4500 is 5
Factors of 4495
List of positive integer factors of 4495 that divides 4495 without a remainder.
1,5,29,31,145,155,899,4495
Factors of 4500
List of positive integer factors of 4500 that divides 4500 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Greatest Common Factor
We found the factors and prime factorization of 4495 and 4500. The biggest common factor number is the GCF number.
So the greatest common factor 4495 and 4500 is 5.
Also check out the Least Common Multiple of 4495 and 4500
(i) The GCF of 4495 and 4500 is associative
GCF of 4495 and 4500 = GCF of 4500 and 4495
1. What is the GCF of 4495 and 4500?
Answer: GCF of 4495 and 4500 is 5.
2. What are the Factors of 4495?
Answer: Factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495. There are 8 integers that are factors of 4495. The greatest factor of 4495 is 4495.
3. What are the Factors of 4500?
Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.
4. How to Find the GCF of 4495 and 4500?
Answer:
Greatest Common Factor of 4495 and 4500 = 5
Step 1: Find the prime factorization of 4495
4495 = 5 x 29 x 31
Step 2: Find the prime factorization of 4500
4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5
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 4495 and 4500 is 5