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 4477, 4480 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4477 and 4480 is 1.
GCF(4477,4480) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4477
11 | 4477 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:
4477 = 112×371
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
∴ So by taking common prime factors GCF of 4477 and 4480 is 1
Factors of 4477
List of positive integer factors of 4477 that divides 4477 without a remainder.
1,11,37,121,407,4477
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
Greatest Common Factor
We found the factors and prime factorization of 4477 and 4480. The biggest common factor number is the GCF number.
So the greatest common factor 4477 and 4480 is 1.
Also check out the Least Common Multiple of 4477 and 4480
(i) The GCF of 4477 and 4480 is associative
GCF of 4477 and 4480 = GCF of 4480 and 4477
1. What is the GCF of 4477 and 4480?
Answer: GCF of 4477 and 4480 is 1.
2. What are the Factors of 4477?
Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.
3. 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.
4. How to Find the GCF of 4477 and 4480?
Answer:
Greatest Common Factor of 4477 and 4480 = 1
Step 1: Find the prime factorization of 4477
4477 = 11 x 11 x 37
Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4477 and 4480 is 1