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 1049, 1057 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1049 and 1057 is 1.
GCF(1049,1057) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1049
1049 | 1049 |
1 |
Prime factors of 1049 are 1049. Prime factorization of 1049 in exponential form is:
1049 = 10491
Prime Factorization of 1057
7 | 1057 |
151 | 151 |
1 |
Prime factors of 1057 are 7.Prime factorization of 1057 in exponential form is:
1057 = 71×1511
∴ So by taking common prime factors GCF of 1049 and 1057 is 1
Factors of 1049
List of positive integer factors of 1049 that divides 1049 without a remainder.
1,1049
Factors of 1057
List of positive integer factors of 1057 that divides 1057 without a remainder.
1,7,151,1057
Greatest Common Factor
We found the factors and prime factorization of 1049 and 1057. The biggest common factor number is the GCF number.
So the greatest common factor 1049 and 1057 is 1.
Also check out the Least Common Multiple of 1049 and 1057
(i) The GCF of 1049 and 1057 is associative
GCF of 1049 and 1057 = GCF of 1057 and 1049
1. What is the GCF of 1049 and 1057?
Answer: GCF of 1049 and 1057 is 1.
2. What are the Factors of 1049?
Answer: Factors of 1049 are 1, 1049. There are 2 integers that are factors of 1049. The greatest factor of 1049 is 1049.
3. What are the Factors of 1057?
Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.
4. How to Find the GCF of 1049 and 1057?
Answer:
Greatest Common Factor of 1049 and 1057 = 1
Step 1: Find the prime factorization of 1049
1049 = 1049
Step 2: Find the prime factorization of 1057
1057 = 7 x 151
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 1049 and 1057 is 1