Greatest Common Factor of 1051 and 1059
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 1051, 1059 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1051 and 1059 is 1.
GCF(1051,1059) = 1
GCF of 1051 and 1059
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 1051 and 1059 by prime factorization method
- Greatest Common Factor of 1051 and 1059 by matching factors method
GCF of 1051 and 1059 is 1
Prime Factorization of 1051
| 1051 | 1051 |
| 1 |
Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:
1051 = 10511
Prime Factorization of 1059
| 3 | 1059 |
| 353 | 353 |
| 1 |
Prime factors of 1059 are 3.Prime factorization of 1059 in exponential form is:
1059 = 31×3531
∴ So by taking common prime factors GCF of 1051 and 1059 is 1
Greatest Common Factor of 1051 and 1059 by matching factors method
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1,1051
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1,3,353,1059
Greatest Common Factor
We found the factors and prime factorization of 1051 and 1059. The biggest common factor number is the GCF number.
So the greatest common factor 1051 and 1059 is 1.
Also check out the Least Common Multiple of 1051 and 1059
Properties of GCF 1051 and 1059
(i) The GCF of 1051 and 1059 is associative
GCF of 1051 and 1059 = GCF of 1059 and 1051
Related Greatest Common Factor of 1051
Related Greatest Common Factor of 1059
Frequently Asked Questions on GCF of 1051 and 1059
1. What is the GCF of 1051 and 1059?
Answer: GCF of 1051 and 1059 is 1.
2. 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.
3. What are the Factors of 1059?
Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.
4. How to Find the GCF of 1051 and 1059?
Answer:
Greatest Common Factor of 1051 and 1059 = 1
Step 1: Find the prime factorization of 1051
1051 = 1051
Step 2: Find the prime factorization of 1059
1059 = 3 x 353
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 1051 and 1059 is 1
