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 2150, 2156 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2150 and 2156 is 2.
GCF(2150,2156) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2150
2 | 2150 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 2150 are 2,5,43. Prime factorization of 2150 in exponential form is:
2150 = 21×52×431
Prime Factorization of 2156
2 | 2156 |
2 | 1078 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 2156 are 2,7,11. Prime factorization of 2156 in exponential form is:
2156 = 22×72×111
∴ So by taking common prime factors GCF of 2150 and 2156 is 2
Factors of 2150
List of positive integer factors of 2150 that divides 2150 without a remainder.
1,2,5,10,25,43,50,86,215,430,1075,2150
Factors of 2156
List of positive integer factors of 2156 that divides 2156 without a remainder.
1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors and prime factorization of 2150 and 2156. The biggest common factor number is the GCF number.
So the greatest common factor 2150 and 2156 is 2.
Also check out the Least Common Multiple of 2150 and 2156
(i) The GCF of 2150 and 2156 is associative
GCF of 2150 and 2156 = GCF of 2156 and 2150
1. What is the GCF of 2150 and 2156?
Answer: GCF of 2150 and 2156 is 2.
2. What are the Factors of 2150?
Answer: Factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150. There are 12 integers that are factors of 2150. The greatest factor of 2150 is 2150.
3. What are the Factors of 2156?
Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.
4. How to Find the GCF of 2150 and 2156?
Answer:
Greatest Common Factor of 2150 and 2156 = 2
Step 1: Find the prime factorization of 2150
2150 = 2 x 5 x 5 x 43
Step 2: Find the prime factorization of 2156
2156 = 2 x 2 x 7 x 7 x 11
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 2150 and 2156 is 2