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 145, 146 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 145 and 146 is 1.
GCF(145,146) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 145
5 | 145 |
29 | 29 |
1 |
Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:
145 = 51×291
Prime Factorization of 146
2 | 146 |
73 | 73 |
1 |
Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:
146 = 21×731
∴ So by taking common prime factors GCF of 145 and 146 is 1
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors and prime factorization of 145 and 146. The biggest common factor number is the GCF number.
So the greatest common factor 145 and 146 is 1.
Also check out the Least Common Multiple of 145 and 146
(i) The GCF of 145 and 146 is associative
GCF of 145 and 146 = GCF of 146 and 145
1. What is the GCF of 145 and 146?
Answer: GCF of 145 and 146 is 1.
2. What are the Factors of 145?
Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.
3. What are the Factors of 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
4. How to Find the GCF of 145 and 146?
Answer:
Greatest Common Factor of 145 and 146 = 1
Step 1: Find the prime factorization of 145
145 = 5 x 29
Step 2: Find the prime factorization of 146
146 = 2 x 73
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 145 and 146 is 1