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, 1740 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1736 and 1740 is 4.
GCF(1736,1740) = 4
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 1740
2 | 1740 |
2 | 870 |
3 | 435 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 1740 are 2,3,5,29. Prime factorization of 1740 in exponential form is:
1740 = 22×31×51×291
∴ So by taking common prime factors GCF of 1736 and 1740 is 4
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 1740
List of positive integer factors of 1740 that divides 1740 without a remainder.
1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Greatest Common Factor
We found the factors and prime factorization of 1736 and 1740. The biggest common factor number is the GCF number.
So the greatest common factor 1736 and 1740 is 4.
Also check out the Least Common Multiple of 1736 and 1740
(i) The GCF of 1736 and 1740 is associative
GCF of 1736 and 1740 = GCF of 1740 and 1736
1. What is the GCF of 1736 and 1740?
Answer: GCF of 1736 and 1740 is 4.
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 1740?
Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.
4. How to Find the GCF of 1736 and 1740?
Answer:
Greatest Common Factor of 1736 and 1740 = 4
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 1740
1740 = 2 x 2 x 3 x 5 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1736 and 1740 is 4