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 5485, 5488 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5485 and 5488 is 1.
GCF(5485,5488) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5485
5 | 5485 |
1097 | 1097 |
1 |
Prime factors of 5485 are 5,1097. Prime factorization of 5485 in exponential form is:
5485 = 51×10971
Prime Factorization of 5488
2 | 5488 |
2 | 2744 |
2 | 1372 |
2 | 686 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:
5488 = 24×73
∴ So by taking common prime factors GCF of 5485 and 5488 is 1
Factors of 5485
List of positive integer factors of 5485 that divides 5485 without a remainder.
1,5,1097,5485
Factors of 5488
List of positive integer factors of 5488 that divides 5488 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Greatest Common Factor
We found the factors and prime factorization of 5485 and 5488. The biggest common factor number is the GCF number.
So the greatest common factor 5485 and 5488 is 1.
Also check out the Least Common Multiple of 5485 and 5488
(i) The GCF of 5485 and 5488 is associative
GCF of 5485 and 5488 = GCF of 5488 and 5485
1. What is the GCF of 5485 and 5488?
Answer: GCF of 5485 and 5488 is 1.
2. What are the Factors of 5485?
Answer: Factors of 5485 are 1, 5, 1097, 5485. There are 4 integers that are factors of 5485. The greatest factor of 5485 is 5485.
3. What are the Factors of 5488?
Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.
4. How to Find the GCF of 5485 and 5488?
Answer:
Greatest Common Factor of 5485 and 5488 = 1
Step 1: Find the prime factorization of 5485
5485 = 5 x 1097
Step 2: Find the prime factorization of 5488
5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7
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 5485 and 5488 is 1