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 1736, 1744 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1736 and 1744 is 8.
GCF(1736,1744) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1736
2 | 1736 |
2 | 868 |
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1736 are 2,7,31. Prime factorization of 1736 in exponential form is:
1736 = 23×71×311
Prime Factorization of 1744
2 | 1744 |
2 | 872 |
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 1744 are 2,109. Prime factorization of 1744 in exponential form is:
1744 = 24×1091
∴ So by taking common prime factors GCF of 1736 and 1744 is 8
Factors of 1736
List of positive integer factors of 1736 that divides 1736 without a remainder.
1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Factors of 1744
List of positive integer factors of 1744 that divides 1744 without a remainder.
1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors and prime factorization of 1736 and 1744. The biggest common factor number is the GCF number.
So the greatest common factor 1736 and 1744 is 8.
Also check out the Least Common Multiple of 1736 and 1744
(i) The GCF of 1736 and 1744 is associative
GCF of 1736 and 1744 = GCF of 1744 and 1736
1. What is the GCF of 1736 and 1744?
Answer: GCF of 1736 and 1744 is 8.
2. What are the Factors of 1736?
Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.
3. What are the Factors of 1744?
Answer: Factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744. There are 10 integers that are factors of 1744. The greatest factor of 1744 is 1744.
4. How to Find the GCF of 1736 and 1744?
Answer:
Greatest Common Factor of 1736 and 1744 = 8
Step 1: Find the prime factorization of 1736
1736 = 2 x 2 x 2 x 7 x 31
Step 2: Find the prime factorization of 1744
1744 = 2 x 2 x 2 x 2 x 109
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 1736 and 1744 is 8