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 603, 610 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 603 and 610 is 1.
GCF(603,610) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 603
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:
603 = 32×671
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
∴ So by taking common prime factors GCF of 603 and 610 is 1
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors and prime factorization of 603 and 610. The biggest common factor number is the GCF number.
So the greatest common factor 603 and 610 is 1.
Also check out the Least Common Multiple of 603 and 610
(i) The GCF of 603 and 610 is associative
GCF of 603 and 610 = GCF of 610 and 603
1. What is the GCF of 603 and 610?
Answer: GCF of 603 and 610 is 1.
2. What are the Factors of 603?
Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.
3. 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.
4. How to Find the GCF of 603 and 610?
Answer:
Greatest Common Factor of 603 and 610 = 1
Step 1: Find the prime factorization of 603
603 = 3 x 3 x 67
Step 2: Find the prime factorization of 610
610 = 2 x 5 x 61
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 603 and 610 is 1