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 2146, 2153 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2146 and 2153 is 1.
GCF(2146,2153) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2146
2 | 2146 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 2146 are 2,29,37. Prime factorization of 2146 in exponential form is:
2146 = 21×291×371
Prime Factorization of 2153
2153 | 2153 |
1 |
Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:
2153 = 21531
∴ So by taking common prime factors GCF of 2146 and 2153 is 1
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1,2,29,37,58,74,1073,2146
Factors of 2153
List of positive integer factors of 2153 that divides 2153 without a remainder.
1,2153
Greatest Common Factor
We found the factors and prime factorization of 2146 and 2153. The biggest common factor number is the GCF number.
So the greatest common factor 2146 and 2153 is 1.
Also check out the Least Common Multiple of 2146 and 2153
(i) The GCF of 2146 and 2153 is associative
GCF of 2146 and 2153 = GCF of 2153 and 2146
1. What is the GCF of 2146 and 2153?
Answer: GCF of 2146 and 2153 is 1.
2. What are the Factors of 2146?
Answer: Factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146. There are 8 integers that are factors of 2146. The greatest factor of 2146 is 2146.
3. What are the Factors of 2153?
Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.
4. How to Find the GCF of 2146 and 2153?
Answer:
Greatest Common Factor of 2146 and 2153 = 1
Step 1: Find the prime factorization of 2146
2146 = 2 x 29 x 37
Step 2: Find the prime factorization of 2153
2153 = 2153
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 2146 and 2153 is 1