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 610, 611 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 610 and 611 is 1.
GCF(610,611) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 610
2 | 610 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 610 are 2,5,61. Prime factorization of 610 in exponential form is:
610 = 21×51×611
Prime Factorization of 611
13 | 611 |
47 | 47 |
1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
∴ So by taking common prime factors GCF of 610 and 611 is 1
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors and prime factorization of 610 and 611. The biggest common factor number is the GCF number.
So the greatest common factor 610 and 611 is 1.
Also check out the Least Common Multiple of 610 and 611
(i) The GCF of 610 and 611 is associative
GCF of 610 and 611 = GCF of 611 and 610
1. What is the GCF of 610 and 611?
Answer: GCF of 610 and 611 is 1.
2. What are the Factors of 610?
Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.
3. What are the Factors of 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
4. How to Find the GCF of 610 and 611?
Answer:
Greatest Common Factor of 610 and 611 = 1
Step 1: Find the prime factorization of 610
610 = 2 x 5 x 61
Step 2: Find the prime factorization of 611
611 = 13 x 47
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 610 and 611 is 1