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 1027, 1034 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1027 and 1034 is 1.
GCF(1027,1034) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1034
2 | 1034 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 1034 are 2,11,47. Prime factorization of 1034 in exponential form is:
1034 = 21×111×471
∴ So by taking common prime factors GCF of 1027 and 1034 is 1
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1,13,79,1027
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors and prime factorization of 1027 and 1034. The biggest common factor number is the GCF number.
So the greatest common factor 1027 and 1034 is 1.
Also check out the Least Common Multiple of 1027 and 1034
(i) The GCF of 1027 and 1034 is associative
GCF of 1027 and 1034 = GCF of 1034 and 1027
1. What is the GCF of 1027 and 1034?
Answer: GCF of 1027 and 1034 is 1.
2. 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.
3. What are the Factors of 1034?
Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.
4. How to Find the GCF of 1027 and 1034?
Answer:
Greatest Common Factor of 1027 and 1034 = 1
Step 1: Find the prime factorization of 1027
1027 = 13 x 79
Step 2: Find the prime factorization of 1034
1034 = 2 x 11 x 47
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 1027 and 1034 is 1