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 2042, 2047 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2042 and 2047 is 1.
GCF(2042,2047) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2042
2 | 2042 |
1021 | 1021 |
1 |
Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:
2042 = 21×10211
Prime Factorization of 2047
23 | 2047 |
89 | 89 |
1 |
Prime factors of 2047 are 23,89. Prime factorization of 2047 in exponential form is:
2047 = 231×891
∴ So by taking common prime factors GCF of 2042 and 2047 is 1
Factors of 2042
List of positive integer factors of 2042 that divides 2042 without a remainder.
1,2,1021,2042
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1,23,89,2047
Greatest Common Factor
We found the factors and prime factorization of 2042 and 2047. The biggest common factor number is the GCF number.
So the greatest common factor 2042 and 2047 is 1.
Also check out the Least Common Multiple of 2042 and 2047
(i) The GCF of 2042 and 2047 is associative
GCF of 2042 and 2047 = GCF of 2047 and 2042
1. What is the GCF of 2042 and 2047?
Answer: GCF of 2042 and 2047 is 1.
2. What are the Factors of 2042?
Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.
3. What are the Factors of 2047?
Answer: Factors of 2047 are 1, 23, 89, 2047. There are 4 integers that are factors of 2047. The greatest factor of 2047 is 2047.
4. How to Find the GCF of 2042 and 2047?
Answer:
Greatest Common Factor of 2042 and 2047 = 1
Step 1: Find the prime factorization of 2042
2042 = 2 x 1021
Step 2: Find the prime factorization of 2047
2047 = 23 x 89
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 2042 and 2047 is 1