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, 2154 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2150 and 2154 is 2.
GCF(2150,2154) = 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 2154
2 | 2154 |
3 | 1077 |
359 | 359 |
1 |
Prime factors of 2154 are 2,3,359. Prime factorization of 2154 in exponential form is:
2154 = 21×31×3591
∴ So by taking common prime factors GCF of 2150 and 2154 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 2154
List of positive integer factors of 2154 that divides 2154 without a remainder.
1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors and prime factorization of 2150 and 2154. The biggest common factor number is the GCF number.
So the greatest common factor 2150 and 2154 is 2.
Also check out the Least Common Multiple of 2150 and 2154
(i) The GCF of 2150 and 2154 is associative
GCF of 2150 and 2154 = GCF of 2154 and 2150
1. What is the GCF of 2150 and 2154?
Answer: GCF of 2150 and 2154 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 2154?
Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.
4. How to Find the GCF of 2150 and 2154?
Answer:
Greatest Common Factor of 2150 and 2154 = 2
Step 1: Find the prime factorization of 2150
2150 = 2 x 5 x 5 x 43
Step 2: Find the prime factorization of 2154
2154 = 2 x 3 x 359
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 2154 is 2