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 2140, 2146 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2140 and 2146 is 2.
GCF(2140,2146) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2140
2 | 2140 |
2 | 1070 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 2140 are 2,5,107. Prime factorization of 2140 in exponential form is:
2140 = 22×51×1071
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
∴ So by taking common prime factors GCF of 2140 and 2146 is 2
Factors of 2140
List of positive integer factors of 2140 that divides 2140 without a remainder.
1,2,4,5,10,20,107,214,428,535,1070,2140
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1,2,29,37,58,74,1073,2146
Greatest Common Factor
We found the factors and prime factorization of 2140 and 2146. The biggest common factor number is the GCF number.
So the greatest common factor 2140 and 2146 is 2.
Also check out the Least Common Multiple of 2140 and 2146
(i) The GCF of 2140 and 2146 is associative
GCF of 2140 and 2146 = GCF of 2146 and 2140
1. What is the GCF of 2140 and 2146?
Answer: GCF of 2140 and 2146 is 2.
2. What are the Factors of 2140?
Answer: Factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140. There are 12 integers that are factors of 2140. The greatest factor of 2140 is 2140.
3. 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.
4. How to Find the GCF of 2140 and 2146?
Answer:
Greatest Common Factor of 2140 and 2146 = 2
Step 1: Find the prime factorization of 2140
2140 = 2 x 2 x 5 x 107
Step 2: Find the prime factorization of 2146
2146 = 2 x 29 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2140 and 2146 is 2