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 1042, 1047 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1042 and 1047 is 1.
GCF(1042,1047) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1042
2 | 1042 |
521 | 521 |
1 |
Prime factors of 1042 are 2,521. Prime factorization of 1042 in exponential form is:
1042 = 21×5211
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
∴ So by taking common prime factors GCF of 1042 and 1047 is 1
Factors of 1042
List of positive integer factors of 1042 that divides 1042 without a remainder.
1,2,521,1042
Factors of 1047
List of positive integer factors of 1047 that divides 1047 without a remainder.
1,3,349,1047
Greatest Common Factor
We found the factors and prime factorization of 1042 and 1047. The biggest common factor number is the GCF number.
So the greatest common factor 1042 and 1047 is 1.
Also check out the Least Common Multiple of 1042 and 1047
(i) The GCF of 1042 and 1047 is associative
GCF of 1042 and 1047 = GCF of 1047 and 1042
1. What is the GCF of 1042 and 1047?
Answer: GCF of 1042 and 1047 is 1.
2. What are the Factors of 1042?
Answer: Factors of 1042 are 1, 2, 521, 1042. There are 4 integers that are factors of 1042. The greatest factor of 1042 is 1042.
3. 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.
4. How to Find the GCF of 1042 and 1047?
Answer:
Greatest Common Factor of 1042 and 1047 = 1
Step 1: Find the prime factorization of 1042
1042 = 2 x 521
Step 2: Find the prime factorization of 1047
1047 = 3 x 349
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 1042 and 1047 is 1