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 128, 135 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 128 and 135 is 1.
GCF(128,135) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 128
2 | 128 |
2 | 64 |
2 | 32 |
2 | 16 |
2 | 8 |
2 | 4 |
2 | 2 |
1 |
Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:
128 = 27
Prime Factorization of 135
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 135 are 3.Prime factorization of 135 in exponential form is:
135 = 33×51
∴ So by taking common prime factors GCF of 128 and 135 is 1
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors and prime factorization of 128 and 135. The biggest common factor number is the GCF number.
So the greatest common factor 128 and 135 is 1.
Also check out the Least Common Multiple of 128 and 135
(i) The GCF of 128 and 135 is associative
GCF of 128 and 135 = GCF of 135 and 128
1. What is the GCF of 128 and 135?
Answer: GCF of 128 and 135 is 1.
2. What are the Factors of 128?
Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.
3. What are the Factors of 135?
Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.
4. How to Find the GCF of 128 and 135?
Answer:
Greatest Common Factor of 128 and 135 = 1
Step 1: Find the prime factorization of 128
128 = 2 x 2 x 2 x 2 x 2 x 2 x 2
Step 2: Find the prime factorization of 135
135 = 3 x 3 x 3 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 128 and 135 is 1