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 555, 562 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 555 and 562 is 1.
GCF(555,562) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 555
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 555 are 3,5,37. Prime factorization of 555 in exponential form is:
555 = 31×51×371
Prime Factorization of 562
2 | 562 |
281 | 281 |
1 |
Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:
562 = 21×2811
∴ So by taking common prime factors GCF of 555 and 562 is 1
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors and prime factorization of 555 and 562. The biggest common factor number is the GCF number.
So the greatest common factor 555 and 562 is 1.
Also check out the Least Common Multiple of 555 and 562
(i) The GCF of 555 and 562 is associative
GCF of 555 and 562 = GCF of 562 and 555
1. What is the GCF of 555 and 562?
Answer: GCF of 555 and 562 is 1.
2. What are the Factors of 555?
Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.
3. What are the Factors of 562?
Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.
4. How to Find the GCF of 555 and 562?
Answer:
Greatest Common Factor of 555 and 562 = 1
Step 1: Find the prime factorization of 555
555 = 3 x 5 x 37
Step 2: Find the prime factorization of 562
562 = 2 x 281
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 555 and 562 is 1