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 1023, 1027 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1023 and 1027 is 1.
GCF(1023,1027) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1023
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 1023 are 3,11,31. Prime factorization of 1023 in exponential form is:
1023 = 31×111×311
Prime Factorization of 1027
13 | 1027 |
79 | 79 |
1 |
Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:
1027 = 131×791
∴ So by taking common prime factors GCF of 1023 and 1027 is 1
Factors of 1023
List of positive integer factors of 1023 that divides 1023 without a remainder.
1,3,11,31,33,93,341,1023
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1,13,79,1027
Greatest Common Factor
We found the factors and prime factorization of 1023 and 1027. The biggest common factor number is the GCF number.
So the greatest common factor 1023 and 1027 is 1.
Also check out the Least Common Multiple of 1023 and 1027
(i) The GCF of 1023 and 1027 is associative
GCF of 1023 and 1027 = GCF of 1027 and 1023
1. What is the GCF of 1023 and 1027?
Answer: GCF of 1023 and 1027 is 1.
2. What are the Factors of 1023?
Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.
3. What are the Factors of 1027?
Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.
4. How to Find the GCF of 1023 and 1027?
Answer:
Greatest Common Factor of 1023 and 1027 = 1
Step 1: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 2: Find the prime factorization of 1027
1027 = 13 x 79
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 1023 and 1027 is 1