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 1410, 1411 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1410 and 1411 is 1.
GCF(1410,1411) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1410
2 | 1410 |
3 | 705 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 1410 are 2,3,5,47. Prime factorization of 1410 in exponential form is:
1410 = 21×31×51×471
Prime Factorization of 1411
17 | 1411 |
83 | 83 |
1 |
Prime factors of 1411 are 17,83. Prime factorization of 1411 in exponential form is:
1411 = 171×831
∴ So by taking common prime factors GCF of 1410 and 1411 is 1
Factors of 1410
List of positive integer factors of 1410 that divides 1410 without a remainder.
1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410
Factors of 1411
List of positive integer factors of 1411 that divides 1411 without a remainder.
1,17,83,1411
Greatest Common Factor
We found the factors and prime factorization of 1410 and 1411. The biggest common factor number is the GCF number.
So the greatest common factor 1410 and 1411 is 1.
Also check out the Least Common Multiple of 1410 and 1411
(i) The GCF of 1410 and 1411 is associative
GCF of 1410 and 1411 = GCF of 1411 and 1410
1. What is the GCF of 1410 and 1411?
Answer: GCF of 1410 and 1411 is 1.
2. What are the Factors of 1410?
Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.
3. What are the Factors of 1411?
Answer: Factors of 1411 are 1, 17, 83, 1411. There are 4 integers that are factors of 1411. The greatest factor of 1411 is 1411.
4. How to Find the GCF of 1410 and 1411?
Answer:
Greatest Common Factor of 1410 and 1411 = 1
Step 1: Find the prime factorization of 1410
1410 = 2 x 3 x 5 x 47
Step 2: Find the prime factorization of 1411
1411 = 17 x 83
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 1410 and 1411 is 1