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 1034, 1038 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1034 and 1038 is 2.
GCF(1034,1038) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1038
2 | 1038 |
3 | 519 |
173 | 173 |
1 |
Prime factors of 1038 are 2,3,173. Prime factorization of 1038 in exponential form is:
1038 = 21×31×1731
∴ So by taking common prime factors GCF of 1034 and 1038 is 2
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Factors of 1038
List of positive integer factors of 1038 that divides 1038 without a remainder.
1,2,3,6,173,346,519,1038
Greatest Common Factor
We found the factors and prime factorization of 1034 and 1038. The biggest common factor number is the GCF number.
So the greatest common factor 1034 and 1038 is 2.
Also check out the Least Common Multiple of 1034 and 1038
(i) The GCF of 1034 and 1038 is associative
GCF of 1034 and 1038 = GCF of 1038 and 1034
1. What is the GCF of 1034 and 1038?
Answer: GCF of 1034 and 1038 is 2.
2. 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.
3. What are the Factors of 1038?
Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.
4. How to Find the GCF of 1034 and 1038?
Answer:
Greatest Common Factor of 1034 and 1038 = 2
Step 1: Find the prime factorization of 1034
1034 = 2 x 11 x 47
Step 2: Find the prime factorization of 1038
1038 = 2 x 3 x 173
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1034 and 1038 is 2