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 2235, 2240 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2235 and 2240 is 5.
GCF(2235,2240) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2235
3 | 2235 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 2235 are 3,5,149. Prime factorization of 2235 in exponential form is:
2235 = 31×51×1491
Prime Factorization of 2240
2 | 2240 |
2 | 1120 |
2 | 560 |
2 | 280 |
2 | 140 |
2 | 70 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 2240 are 2,5,7. Prime factorization of 2240 in exponential form is:
2240 = 26×51×71
∴ So by taking common prime factors GCF of 2235 and 2240 is 5
Factors of 2235
List of positive integer factors of 2235 that divides 2235 without a remainder.
1,3,5,15,149,447,745,2235
Factors of 2240
List of positive integer factors of 2240 that divides 2240 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Greatest Common Factor
We found the factors and prime factorization of 2235 and 2240. The biggest common factor number is the GCF number.
So the greatest common factor 2235 and 2240 is 5.
Also check out the Least Common Multiple of 2235 and 2240
(i) The GCF of 2235 and 2240 is associative
GCF of 2235 and 2240 = GCF of 2240 and 2235
1. What is the GCF of 2235 and 2240?
Answer: GCF of 2235 and 2240 is 5.
2. What are the Factors of 2235?
Answer: Factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235. There are 8 integers that are factors of 2235. The greatest factor of 2235 is 2235.
3. What are the Factors of 2240?
Answer: Factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. There are 28 integers that are factors of 2240. The greatest factor of 2240 is 2240.
4. How to Find the GCF of 2235 and 2240?
Answer:
Greatest Common Factor of 2235 and 2240 = 5
Step 1: Find the prime factorization of 2235
2235 = 3 x 5 x 149
Step 2: Find the prime factorization of 2240
2240 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7
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 2235 and 2240 is 5