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 160, 169 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 160 and 169 is 1.
GCF(160,169) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 169
13 | 169 |
13 | 13 |
1 |
Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:
169 = 132
∴ So by taking common prime factors GCF of 160 and 169 is 1
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
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors and prime factorization of 160 and 169. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 169 is 1.
Also check out the Least Common Multiple of 160 and 169
(i) The GCF of 160 and 169 is associative
GCF of 160 and 169 = GCF of 169 and 160
1. What is the GCF of 160 and 169?
Answer: GCF of 160 and 169 is 1.
2. 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.
3. What are the Factors of 169?
Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.
4. How to Find the GCF of 160 and 169?
Answer:
Greatest Common Factor of 160 and 169 = 1
Step 1: Find the prime factorization of 160
160 = 2 x 2 x 2 x 2 x 2 x 5
Step 2: Find the prime factorization of 169
169 = 13 x 13
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 160 and 169 is 1