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 659, 664 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 659 and 664 is 1.
GCF(659,664) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 659
659 | 659 |
1 |
Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:
659 = 6591
Prime Factorization of 664
2 | 664 |
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 664 are 2.Prime factorization of 664 in exponential form is:
664 = 23×831
∴ So by taking common prime factors GCF of 659 and 664 is 1
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors and prime factorization of 659 and 664. The biggest common factor number is the GCF number.
So the greatest common factor 659 and 664 is 1.
Also check out the Least Common Multiple of 659 and 664
(i) The GCF of 659 and 664 is associative
GCF of 659 and 664 = GCF of 664 and 659
1. What is the GCF of 659 and 664?
Answer: GCF of 659 and 664 is 1.
2. What are the Factors of 659?
Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.
3. What are the Factors of 664?
Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.
4. How to Find the GCF of 659 and 664?
Answer:
Greatest Common Factor of 659 and 664 = 1
Step 1: Find the prime factorization of 659
659 = 659
Step 2: Find the prime factorization of 664
664 = 2 x 2 x 2 x 83
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 659 and 664 is 1