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 658, 660 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 658 and 660 is 2.
GCF(658,660) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 658
2 | 658 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 658 are 2,7,47. Prime factorization of 658 in exponential form is:
658 = 21×71×471
Prime Factorization of 660
2 | 660 |
2 | 330 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 660 are 2,3,5,11. Prime factorization of 660 in exponential form is:
660 = 22×31×51×111
∴ So by taking common prime factors GCF of 658 and 660 is 2
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors and prime factorization of 658 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 658 and 660 is 2.
Also check out the Least Common Multiple of 658 and 660
(i) The GCF of 658 and 660 is associative
GCF of 658 and 660 = GCF of 660 and 658
1. What is the GCF of 658 and 660?
Answer: GCF of 658 and 660 is 2.
2. What are the Factors of 658?
Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.
3. What are the Factors of 660?
Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.
4. How to Find the GCF of 658 and 660?
Answer:
Greatest Common Factor of 658 and 660 = 2
Step 1: Find the prime factorization of 658
658 = 2 x 7 x 47
Step 2: Find the prime factorization of 660
660 = 2 x 2 x 3 x 5 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 658 and 660 is 2