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 1373, 1380 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1373 and 1380 is 1.
GCF(1373,1380) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1373
1373 | 1373 |
1 |
Prime factors of 1373 are 1373. Prime factorization of 1373 in exponential form is:
1373 = 13731
Prime Factorization of 1380
2 | 1380 |
2 | 690 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 1380 are 2.Prime factorization of 1380 in exponential form is:
1380 = 22×31×51×231
∴ So by taking common prime factors GCF of 1373 and 1380 is 1
Factors of 1373
List of positive integer factors of 1373 that divides 1373 without a remainder.
1,1373
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
Greatest Common Factor
We found the factors and prime factorization of 1373 and 1380. The biggest common factor number is the GCF number.
So the greatest common factor 1373 and 1380 is 1.
Also check out the Least Common Multiple of 1373 and 1380
(i) The GCF of 1373 and 1380 is associative
GCF of 1373 and 1380 = GCF of 1380 and 1373
1. What is the GCF of 1373 and 1380?
Answer: GCF of 1373 and 1380 is 1.
2. What are the Factors of 1373?
Answer: Factors of 1373 are 1, 1373. There are 2 integers that are factors of 1373. The greatest factor of 1373 is 1373.
3. 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.
4. How to Find the GCF of 1373 and 1380?
Answer:
Greatest Common Factor of 1373 and 1380 = 1
Step 1: Find the prime factorization of 1373
1373 = 1373
Step 2: Find the prime factorization of 1380
1380 = 2 x 2 x 3 x 5 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1373 and 1380 is 1