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 1047, 1054 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1047 and 1054 is 1.
GCF(1047,1054) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1047
3 | 1047 |
349 | 349 |
1 |
Prime factors of 1047 are 3,349. Prime factorization of 1047 in exponential form is:
1047 = 31×3491
Prime Factorization of 1054
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 1054 are 2,17,31. Prime factorization of 1054 in exponential form is:
1054 = 21×171×311
∴ So by taking common prime factors GCF of 1047 and 1054 is 1
Factors of 1047
List of positive integer factors of 1047 that divides 1047 without a remainder.
1,3,349,1047
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1,2,17,31,34,62,527,1054
Greatest Common Factor
We found the factors and prime factorization of 1047 and 1054. The biggest common factor number is the GCF number.
So the greatest common factor 1047 and 1054 is 1.
Also check out the Least Common Multiple of 1047 and 1054
(i) The GCF of 1047 and 1054 is associative
GCF of 1047 and 1054 = GCF of 1054 and 1047
1. What is the GCF of 1047 and 1054?
Answer: GCF of 1047 and 1054 is 1.
2. What are the Factors of 1047?
Answer: Factors of 1047 are 1, 3, 349, 1047. There are 4 integers that are factors of 1047. The greatest factor of 1047 is 1047.
3. What are the Factors of 1054?
Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.
4. How to Find the GCF of 1047 and 1054?
Answer:
Greatest Common Factor of 1047 and 1054 = 1
Step 1: Find the prime factorization of 1047
1047 = 3 x 349
Step 2: Find the prime factorization of 1054
1054 = 2 x 17 x 31
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 1047 and 1054 is 1