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 2247, 2254 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2247 and 2254 is 7.
GCF(2247,2254) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2247
3 | 2247 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 2247 are 3,7,107. Prime factorization of 2247 in exponential form is:
2247 = 31×71×1071
Prime Factorization of 2254
2 | 2254 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 2254 are 2,7,23. Prime factorization of 2254 in exponential form is:
2254 = 21×72×231
∴ So by taking common prime factors GCF of 2247 and 2254 is 7
Factors of 2247
List of positive integer factors of 2247 that divides 2247 without a remainder.
1,3,7,21,107,321,749,2247
Factors of 2254
List of positive integer factors of 2254 that divides 2254 without a remainder.
1,2,7,14,23,46,49,98,161,322,1127,2254
Greatest Common Factor
We found the factors and prime factorization of 2247 and 2254. The biggest common factor number is the GCF number.
So the greatest common factor 2247 and 2254 is 7.
Also check out the Least Common Multiple of 2247 and 2254
(i) The GCF of 2247 and 2254 is associative
GCF of 2247 and 2254 = GCF of 2254 and 2247
1. What is the GCF of 2247 and 2254?
Answer: GCF of 2247 and 2254 is 7.
2. What are the Factors of 2247?
Answer: Factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247. There are 8 integers that are factors of 2247. The greatest factor of 2247 is 2247.
3. What are the Factors of 2254?
Answer: Factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254. There are 12 integers that are factors of 2254. The greatest factor of 2254 is 2254.
4. How to Find the GCF of 2247 and 2254?
Answer:
Greatest Common Factor of 2247 and 2254 = 7
Step 1: Find the prime factorization of 2247
2247 = 3 x 7 x 107
Step 2: Find the prime factorization of 2254
2254 = 2 x 7 x 7 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2247 and 2254 is 7