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 169, 176 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 169 and 176 is 1.
GCF(169,176) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 176
2 | 176 |
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 176 are 2.Prime factorization of 176 in exponential form is:
176 = 24×111
∴ So by taking common prime factors GCF of 169 and 176 is 1
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors and prime factorization of 169 and 176. The biggest common factor number is the GCF number.
So the greatest common factor 169 and 176 is 1.
Also check out the Least Common Multiple of 169 and 176
(i) The GCF of 169 and 176 is associative
GCF of 169 and 176 = GCF of 176 and 169
1. What is the GCF of 169 and 176?
Answer: GCF of 169 and 176 is 1.
2. 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.
3. What are the Factors of 176?
Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.
4. How to Find the GCF of 169 and 176?
Answer:
Greatest Common Factor of 169 and 176 = 1
Step 1: Find the prime factorization of 169
169 = 13 x 13
Step 2: Find the prime factorization of 176
176 = 2 x 2 x 2 x 2 x 11
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 169 and 176 is 1