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 1760, 1768 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1760 and 1768 is 8.
GCF(1760,1768) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1760
2 | 1760 |
2 | 880 |
2 | 440 |
2 | 220 |
2 | 110 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1760 are 2,5,11. Prime factorization of 1760 in exponential form is:
1760 = 25×51×111
Prime Factorization of 1768
2 | 1768 |
2 | 884 |
2 | 442 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 1768 are 2,13,17. Prime factorization of 1768 in exponential form is:
1768 = 23×131×171
∴ So by taking common prime factors GCF of 1760 and 1768 is 8
Factors of 1760
List of positive integer factors of 1760 that divides 1760 without a remainder.
1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Factors of 1768
List of positive integer factors of 1768 that divides 1768 without a remainder.
1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Greatest Common Factor
We found the factors and prime factorization of 1760 and 1768. The biggest common factor number is the GCF number.
So the greatest common factor 1760 and 1768 is 8.
Also check out the Least Common Multiple of 1760 and 1768
(i) The GCF of 1760 and 1768 is associative
GCF of 1760 and 1768 = GCF of 1768 and 1760
1. What is the GCF of 1760 and 1768?
Answer: GCF of 1760 and 1768 is 8.
2. What are the Factors of 1760?
Answer: Factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760. There are 24 integers that are factors of 1760. The greatest factor of 1760 is 1760.
3. What are the Factors of 1768?
Answer: Factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768. There are 16 integers that are factors of 1768. The greatest factor of 1768 is 1768.
4. How to Find the GCF of 1760 and 1768?
Answer:
Greatest Common Factor of 1760 and 1768 = 8
Step 1: Find the prime factorization of 1760
1760 = 2 x 2 x 2 x 2 x 2 x 5 x 11
Step 2: Find the prime factorization of 1768
1768 = 2 x 2 x 2 x 13 x 17
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 1760 and 1768 is 8