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 1044, 1051 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1044 and 1051 is 1.
GCF(1044,1051) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1044
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 1044 are 2,3,29. Prime factorization of 1044 in exponential form is:
1044 = 22×32×291
Prime Factorization of 1051
1051 | 1051 |
1 |
Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:
1051 = 10511
∴ So by taking common prime factors GCF of 1044 and 1051 is 1
Factors of 1044
List of positive integer factors of 1044 that divides 1044 without a remainder.
1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1,1051
Greatest Common Factor
We found the factors and prime factorization of 1044 and 1051. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1051 is 1.
Also check out the Least Common Multiple of 1044 and 1051
(i) The GCF of 1044 and 1051 is associative
GCF of 1044 and 1051 = GCF of 1051 and 1044
1. What is the GCF of 1044 and 1051?
Answer: GCF of 1044 and 1051 is 1.
2. What are the Factors of 1044?
Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.
3. What are the Factors of 1051?
Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.
4. How to Find the GCF of 1044 and 1051?
Answer:
Greatest Common Factor of 1044 and 1051 = 1
Step 1: Find the prime factorization of 1044
1044 = 2 x 2 x 3 x 3 x 29
Step 2: Find the prime factorization of 1051
1051 = 1051
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 1044 and 1051 is 1