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 1555, 1562 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1555 and 1562 is 1.
GCF(1555,1562) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1555
5 | 1555 |
311 | 311 |
1 |
Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:
1555 = 51×3111
Prime Factorization of 1562
2 | 1562 |
11 | 781 |
71 | 71 |
1 |
Prime factors of 1562 are 2,11,71. Prime factorization of 1562 in exponential form is:
1562 = 21×111×711
∴ So by taking common prime factors GCF of 1555 and 1562 is 1
Factors of 1555
List of positive integer factors of 1555 that divides 1555 without a remainder.
1,5,311,1555
Factors of 1562
List of positive integer factors of 1562 that divides 1562 without a remainder.
1,2,11,22,71,142,781,1562
Greatest Common Factor
We found the factors and prime factorization of 1555 and 1562. The biggest common factor number is the GCF number.
So the greatest common factor 1555 and 1562 is 1.
Also check out the Least Common Multiple of 1555 and 1562
(i) The GCF of 1555 and 1562 is associative
GCF of 1555 and 1562 = GCF of 1562 and 1555
1. What is the GCF of 1555 and 1562?
Answer: GCF of 1555 and 1562 is 1.
2. What are the Factors of 1555?
Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.
3. What are the Factors of 1562?
Answer: Factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562. There are 8 integers that are factors of 1562. The greatest factor of 1562 is 1562.
4. How to Find the GCF of 1555 and 1562?
Answer:
Greatest Common Factor of 1555 and 1562 = 1
Step 1: Find the prime factorization of 1555
1555 = 5 x 311
Step 2: Find the prime factorization of 1562
1562 = 2 x 11 x 71
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 1555 and 1562 is 1