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 153, 160 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 153 and 160 is 1.
GCF(153,160) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 153
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:
153 = 32×171
Prime Factorization of 160
2 | 160 |
2 | 80 |
2 | 40 |
2 | 20 |
2 | 10 |
5 | 5 |
1 |
Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:
160 = 25×51
∴ So by taking common prime factors GCF of 153 and 160 is 1
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors and prime factorization of 153 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 153 and 160 is 1.
Also check out the Least Common Multiple of 153 and 160
(i) The GCF of 153 and 160 is associative
GCF of 153 and 160 = GCF of 160 and 153
1. What is the GCF of 153 and 160?
Answer: GCF of 153 and 160 is 1.
2. What are the Factors of 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
3. What are the Factors of 160?
Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.
4. How to Find the GCF of 153 and 160?
Answer:
Greatest Common Factor of 153 and 160 = 1
Step 1: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 2: Find the prime factorization of 160
160 = 2 x 2 x 2 x 2 x 2 x 5
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 153 and 160 is 1