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 3577, 3584 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3577 and 3584 is 7.
GCF(3577,3584) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3577
7 | 3577 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 3577 are 7,73. Prime factorization of 3577 in exponential form is:
3577 = 72×731
Prime Factorization of 3584
2 | 3584 |
2 | 1792 |
2 | 896 |
2 | 448 |
2 | 224 |
2 | 112 |
2 | 56 |
2 | 28 |
2 | 14 |
7 | 7 |
1 |
Prime factors of 3584 are 2,7. Prime factorization of 3584 in exponential form is:
3584 = 29×71
∴ So by taking common prime factors GCF of 3577 and 3584 is 7
Factors of 3577
List of positive integer factors of 3577 that divides 3577 without a remainder.
1,7,49,73,511,3577
Factors of 3584
List of positive integer factors of 3584 that divides 3584 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors and prime factorization of 3577 and 3584. The biggest common factor number is the GCF number.
So the greatest common factor 3577 and 3584 is 7.
Also check out the Least Common Multiple of 3577 and 3584
(i) The GCF of 3577 and 3584 is associative
GCF of 3577 and 3584 = GCF of 3584 and 3577
1. What is the GCF of 3577 and 3584?
Answer: GCF of 3577 and 3584 is 7.
2. What are the Factors of 3577?
Answer: Factors of 3577 are 1, 7, 49, 73, 511, 3577. There are 6 integers that are factors of 3577. The greatest factor of 3577 is 3577.
3. What are the Factors of 3584?
Answer: Factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584. There are 20 integers that are factors of 3584. The greatest factor of 3584 is 3584.
4. How to Find the GCF of 3577 and 3584?
Answer:
Greatest Common Factor of 3577 and 3584 = 7
Step 1: Find the prime factorization of 3577
3577 = 7 x 7 x 73
Step 2: Find the prime factorization of 3584
3584 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 3577 and 3584 is 7