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 8144, 8150 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8144 and 8150 is 2.
GCF(8144,8150) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8144
2 | 8144 |
2 | 4072 |
2 | 2036 |
2 | 1018 |
509 | 509 |
1 |
Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:
8144 = 24×5091
Prime Factorization of 8150
2 | 8150 |
5 | 4075 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 8150 are 2,5,163. Prime factorization of 8150 in exponential form is:
8150 = 21×52×1631
∴ So by taking common prime factors GCF of 8144 and 8150 is 2
Factors of 8144
List of positive integer factors of 8144 that divides 8144 without a remainder.
1,2,4,8,16,509,1018,2036,4072,8144
Factors of 8150
List of positive integer factors of 8150 that divides 8150 without a remainder.
1,2,5,10,25,50,163,326,815,1630,4075,8150
Greatest Common Factor
We found the factors and prime factorization of 8144 and 8150. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8150 is 2.
Also check out the Least Common Multiple of 8144 and 8150
(i) The GCF of 8144 and 8150 is associative
GCF of 8144 and 8150 = GCF of 8150 and 8144
1. What is the GCF of 8144 and 8150?
Answer: GCF of 8144 and 8150 is 2.
2. What are the Factors of 8144?
Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.
3. What are the Factors of 8150?
Answer: Factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150. There are 12 integers that are factors of 8150. The greatest factor of 8150 is 8150.
4. How to Find the GCF of 8144 and 8150?
Answer:
Greatest Common Factor of 8144 and 8150 = 2
Step 1: Find the prime factorization of 8144
8144 = 2 x 2 x 2 x 2 x 509
Step 2: Find the prime factorization of 8150
8150 = 2 x 5 x 5 x 163
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 8144 and 8150 is 2