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 1380, 1383 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1380 and 1383 is 3.
GCF(1380,1383) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1380
2 | 1380 |
2 | 690 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 1380 are 2,3,5,23. Prime factorization of 1380 in exponential form is:
1380 = 22×31×51×231
Prime Factorization of 1383
3 | 1383 |
461 | 461 |
1 |
Prime factors of 1383 are 3,461. Prime factorization of 1383 in exponential form is:
1383 = 31×4611
∴ So by taking common prime factors GCF of 1380 and 1383 is 3
Factors of 1380
List of positive integer factors of 1380 that divides 1380 without a remainder.
1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Factors of 1383
List of positive integer factors of 1383 that divides 1383 without a remainder.
1,3,461,1383
Greatest Common Factor
We found the factors and prime factorization of 1380 and 1383. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1383 is 3.
Also check out the Least Common Multiple of 1380 and 1383
(i) The GCF of 1380 and 1383 is associative
GCF of 1380 and 1383 = GCF of 1383 and 1380
1. What is the GCF of 1380 and 1383?
Answer: GCF of 1380 and 1383 is 3.
2. What are the Factors of 1380?
Answer: Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380. There are 24 integers that are factors of 1380. The greatest factor of 1380 is 1380.
3. What are the Factors of 1383?
Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.
4. How to Find the GCF of 1380 and 1383?
Answer:
Greatest Common Factor of 1380 and 1383 = 3
Step 1: Find the prime factorization of 1380
1380 = 2 x 2 x 3 x 5 x 23
Step 2: Find the prime factorization of 1383
1383 = 3 x 461
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1380 and 1383 is 3