Greatest Common Factor of 1722 and 1729
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 1722, 1729 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1722 and 1729 is 7.
GCF(1722,1729) = 7
GCF of 1722 and 1729
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 1722 and 1729 by prime factorization method
- Greatest Common Factor of 1722 and 1729 by matching factors method
GCF of 1722 and 1729 is 7
Prime Factorization of 1722
| 2 | 1722 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 1722 are 2,3,7,41. Prime factorization of 1722 in exponential form is:
1722 = 21×31×71×411
Prime Factorization of 1729
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 1729 are 7,13,19. Prime factorization of 1729 in exponential form is:
1729 = 71×131×191
∴ So by taking common prime factors GCF of 1722 and 1729 is 7
Greatest Common Factor of 1722 and 1729 by matching factors method
Factors of 1722
List of positive integer factors of 1722 that divides 1722 without a remainder.
1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Factors of 1729
List of positive integer factors of 1729 that divides 1729 without a remainder.
1,7,13,19,91,133,247,1729
Greatest Common Factor
We found the factors and prime factorization of 1722 and 1729. The biggest common factor number is the GCF number.
So the greatest common factor 1722 and 1729 is 7.
Also check out the Least Common Multiple of 1722 and 1729
Properties of GCF 1722 and 1729
(i) The GCF of 1722 and 1729 is associative
GCF of 1722 and 1729 = GCF of 1729 and 1722
Related Greatest Common Factor of 1722
Related Greatest Common Factor of 1729
Frequently Asked Questions on GCF of 1722 and 1729
1. What is the GCF of 1722 and 1729?
Answer: GCF of 1722 and 1729 is 7.
2. What are the Factors of 1722?
Answer: Factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. There are 16 integers that are factors of 1722. The greatest factor of 1722 is 1722.
3. What are the Factors of 1729?
Answer: Factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. There are 8 integers that are factors of 1729. The greatest factor of 1729 is 1729.
4. How to Find the GCF of 1722 and 1729?
Answer:
Greatest Common Factor of 1722 and 1729 = 7
Step 1: Find the prime factorization of 1722
1722 = 2 x 3 x 7 x 41
Step 2: Find the prime factorization of 1729
1729 = 7 x 13 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 1722 and 1729 is 7