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 4518, 4520 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4518 and 4520 is 2.
GCF(4518,4520) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4518
2 | 4518 |
3 | 2259 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 4518 are 2,3,251. Prime factorization of 4518 in exponential form is:
4518 = 21×32×2511
Prime Factorization of 4520
2 | 4520 |
2 | 2260 |
2 | 1130 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 4520 are 2,5,113. Prime factorization of 4520 in exponential form is:
4520 = 23×51×1131
∴ So by taking common prime factors GCF of 4518 and 4520 is 2
Factors of 4518
List of positive integer factors of 4518 that divides 4518 without a remainder.
1,2,3,6,9,18,251,502,753,1506,2259,4518
Factors of 4520
List of positive integer factors of 4520 that divides 4520 without a remainder.
1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Greatest Common Factor
We found the factors and prime factorization of 4518 and 4520. The biggest common factor number is the GCF number.
So the greatest common factor 4518 and 4520 is 2.
Also check out the Least Common Multiple of 4518 and 4520
(i) The GCF of 4518 and 4520 is associative
GCF of 4518 and 4520 = GCF of 4520 and 4518
1. What is the GCF of 4518 and 4520?
Answer: GCF of 4518 and 4520 is 2.
2. What are the Factors of 4518?
Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.
3. What are the Factors of 4520?
Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.
4. How to Find the GCF of 4518 and 4520?
Answer:
Greatest Common Factor of 4518 and 4520 = 2
Step 1: Find the prime factorization of 4518
4518 = 2 x 3 x 3 x 251
Step 2: Find the prime factorization of 4520
4520 = 2 x 2 x 2 x 5 x 113
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 4518 and 4520 is 2