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 135, 142 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 135 and 142 is 1.
GCF(135,142) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 135
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:
135 = 33×51
Prime Factorization of 142
2 | 142 |
71 | 71 |
1 |
Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:
142 = 21×711
∴ So by taking common prime factors GCF of 135 and 142 is 1
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors and prime factorization of 135 and 142. The biggest common factor number is the GCF number.
So the greatest common factor 135 and 142 is 1.
Also check out the Least Common Multiple of 135 and 142
(i) The GCF of 135 and 142 is associative
GCF of 135 and 142 = GCF of 142 and 135
1. What is the GCF of 135 and 142?
Answer: GCF of 135 and 142 is 1.
2. 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.
3. What are the Factors of 142?
Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.
4. How to Find the GCF of 135 and 142?
Answer:
Greatest Common Factor of 135 and 142 = 1
Step 1: Find the prime factorization of 135
135 = 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 142
142 = 2 x 71
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 135 and 142 is 1