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 664, 671 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 664 and 671 is 1.
GCF(664,671) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 664
2 | 664 |
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:
664 = 23×831
Prime Factorization of 671
11 | 671 |
61 | 61 |
1 |
Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:
671 = 111×611
∴ So by taking common prime factors GCF of 664 and 671 is 1
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors and prime factorization of 664 and 671. The biggest common factor number is the GCF number.
So the greatest common factor 664 and 671 is 1.
Also check out the Least Common Multiple of 664 and 671
(i) The GCF of 664 and 671 is associative
GCF of 664 and 671 = GCF of 671 and 664
1. What is the GCF of 664 and 671?
Answer: GCF of 664 and 671 is 1.
2. 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.
3. What are the Factors of 671?
Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.
4. How to Find the GCF of 664 and 671?
Answer:
Greatest Common Factor of 664 and 671 = 1
Step 1: Find the prime factorization of 664
664 = 2 x 2 x 2 x 83
Step 2: Find the prime factorization of 671
671 = 11 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 664 and 671 is 1