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 4480, 4486 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4480 and 4486 is 2.
GCF(4480,4486) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4480
2 | 4480 |
2 | 2240 |
2 | 1120 |
2 | 560 |
2 | 280 |
2 | 140 |
2 | 70 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 4480 are 2,5,7. Prime factorization of 4480 in exponential form is:
4480 = 27×51×71
Prime Factorization of 4486
2 | 4486 |
2243 | 2243 |
1 |
Prime factors of 4486 are 2,2243. Prime factorization of 4486 in exponential form is:
4486 = 21×22431
∴ So by taking common prime factors GCF of 4480 and 4486 is 2
Factors of 4480
List of positive integer factors of 4480 that divides 4480 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Factors of 4486
List of positive integer factors of 4486 that divides 4486 without a remainder.
1,2,2243,4486
Greatest Common Factor
We found the factors and prime factorization of 4480 and 4486. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4486 is 2.
Also check out the Least Common Multiple of 4480 and 4486
(i) The GCF of 4480 and 4486 is associative
GCF of 4480 and 4486 = GCF of 4486 and 4480
1. What is the GCF of 4480 and 4486?
Answer: GCF of 4480 and 4486 is 2.
2. What are the Factors of 4480?
Answer: Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. There are 32 integers that are factors of 4480. The greatest factor of 4480 is 4480.
3. What are the Factors of 4486?
Answer: Factors of 4486 are 1, 2, 2243, 4486. There are 4 integers that are factors of 4486. The greatest factor of 4486 is 4486.
4. How to Find the GCF of 4480 and 4486?
Answer:
Greatest Common Factor of 4480 and 4486 = 2
Step 1: Find the prime factorization of 4480
4480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 4486
4486 = 2 x 2243
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 4480 and 4486 is 2