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 1243, 1247 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1243 and 1247 is 1.
GCF(1243,1247) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1243
11 | 1243 |
113 | 113 |
1 |
Prime factors of 1243 are 11,113. Prime factorization of 1243 in exponential form is:
1243 = 111×1131
Prime Factorization of 1247
29 | 1247 |
43 | 43 |
1 |
Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:
1247 = 291×431
∴ So by taking common prime factors GCF of 1243 and 1247 is 1
Factors of 1243
List of positive integer factors of 1243 that divides 1243 without a remainder.
1,11,113,1243
Factors of 1247
List of positive integer factors of 1247 that divides 1247 without a remainder.
1,29,43,1247
Greatest Common Factor
We found the factors and prime factorization of 1243 and 1247. The biggest common factor number is the GCF number.
So the greatest common factor 1243 and 1247 is 1.
Also check out the Least Common Multiple of 1243 and 1247
(i) The GCF of 1243 and 1247 is associative
GCF of 1243 and 1247 = GCF of 1247 and 1243
1. What is the GCF of 1243 and 1247?
Answer: GCF of 1243 and 1247 is 1.
2. What are the Factors of 1243?
Answer: Factors of 1243 are 1, 11, 113, 1243. There are 4 integers that are factors of 1243. The greatest factor of 1243 is 1243.
3. What are the Factors of 1247?
Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.
4. How to Find the GCF of 1243 and 1247?
Answer:
Greatest Common Factor of 1243 and 1247 = 1
Step 1: Find the prime factorization of 1243
1243 = 11 x 113
Step 2: Find the prime factorization of 1247
1247 = 29 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1243 and 1247 is 1