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 4548, 4554 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4548 and 4554 is 6.
GCF(4548,4554) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4548
2 | 4548 |
2 | 2274 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 4548 are 2,3,379. Prime factorization of 4548 in exponential form is:
4548 = 22×31×3791
Prime Factorization of 4554
2 | 4554 |
3 | 2277 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 4554 are 2,3,11,23. Prime factorization of 4554 in exponential form is:
4554 = 21×32×111×231
∴ So by taking common prime factors GCF of 4548 and 4554 is 6
Factors of 4548
List of positive integer factors of 4548 that divides 4548 without a remainder.
1,2,3,4,6,12,379,758,1137,1516,2274,4548
Factors of 4554
List of positive integer factors of 4554 that divides 4554 without a remainder.
1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554
Greatest Common Factor
We found the factors and prime factorization of 4548 and 4554. The biggest common factor number is the GCF number.
So the greatest common factor 4548 and 4554 is 6.
Also check out the Least Common Multiple of 4548 and 4554
(i) The GCF of 4548 and 4554 is associative
GCF of 4548 and 4554 = GCF of 4554 and 4548
1. What is the GCF of 4548 and 4554?
Answer: GCF of 4548 and 4554 is 6.
2. What are the Factors of 4548?
Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.
3. What are the Factors of 4554?
Answer: Factors of 4554 are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554. There are 24 integers that are factors of 4554. The greatest factor of 4554 is 4554.
4. How to Find the GCF of 4548 and 4554?
Answer:
Greatest Common Factor of 4548 and 4554 = 6
Step 1: Find the prime factorization of 4548
4548 = 2 x 2 x 3 x 379
Step 2: Find the prime factorization of 4554
4554 = 2 x 3 x 3 x 11 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4548 and 4554 is 6