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 4505, 4512 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4505 and 4512 is 1.
GCF(4505,4512) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4505
5 | 4505 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 4505 are 5,17,53. Prime factorization of 4505 in exponential form is:
4505 = 51×171×531
Prime Factorization of 4512
2 | 4512 |
2 | 2256 |
2 | 1128 |
2 | 564 |
2 | 282 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 4512 are 2,3,47. Prime factorization of 4512 in exponential form is:
4512 = 25×31×471
∴ So by taking common prime factors GCF of 4505 and 4512 is 1
Factors of 4505
List of positive integer factors of 4505 that divides 4505 without a remainder.
1,5,17,53,85,265,901,4505
Factors of 4512
List of positive integer factors of 4512 that divides 4512 without a remainder.
1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512
Greatest Common Factor
We found the factors and prime factorization of 4505 and 4512. The biggest common factor number is the GCF number.
So the greatest common factor 4505 and 4512 is 1.
Also check out the Least Common Multiple of 4505 and 4512
(i) The GCF of 4505 and 4512 is associative
GCF of 4505 and 4512 = GCF of 4512 and 4505
1. What is the GCF of 4505 and 4512?
Answer: GCF of 4505 and 4512 is 1.
2. What are the Factors of 4505?
Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.
3. What are the Factors of 4512?
Answer: Factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512. There are 24 integers that are factors of 4512. The greatest factor of 4512 is 4512.
4. How to Find the GCF of 4505 and 4512?
Answer:
Greatest Common Factor of 4505 and 4512 = 1
Step 1: Find the prime factorization of 4505
4505 = 5 x 17 x 53
Step 2: Find the prime factorization of 4512
4512 = 2 x 2 x 2 x 2 x 2 x 3 x 47
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 4505 and 4512 is 1