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 4544, 4545 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4544 and 4545 is 1.
GCF(4544,4545) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4544
2 | 4544 |
2 | 2272 |
2 | 1136 |
2 | 568 |
2 | 284 |
2 | 142 |
71 | 71 |
1 |
Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:
4544 = 26×711
Prime Factorization of 4545
3 | 4545 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 4545 are 3,5,101. Prime factorization of 4545 in exponential form is:
4545 = 32×51×1011
∴ So by taking common prime factors GCF of 4544 and 4545 is 1
Factors of 4544
List of positive integer factors of 4544 that divides 4544 without a remainder.
1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
1,3,5,9,15,45,101,303,505,909,1515,4545
Greatest Common Factor
We found the factors and prime factorization of 4544 and 4545. The biggest common factor number is the GCF number.
So the greatest common factor 4544 and 4545 is 1.
Also check out the Least Common Multiple of 4544 and 4545
(i) The GCF of 4544 and 4545 is associative
GCF of 4544 and 4545 = GCF of 4545 and 4544
1. What is the GCF of 4544 and 4545?
Answer: GCF of 4544 and 4545 is 1.
2. What are the Factors of 4544?
Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.
3. What are the Factors of 4545?
Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.
4. How to Find the GCF of 4544 and 4545?
Answer:
Greatest Common Factor of 4544 and 4545 = 1
Step 1: Find the prime factorization of 4544
4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71
Step 2: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
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 4544 and 4545 is 1