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 647, 649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 647 and 649 is 1.
GCF(647,649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 647
647 | 647 |
1 |
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
Prime Factorization of 649
11 | 649 |
59 | 59 |
1 |
Prime factors of 649 are 11.Prime factorization of 649 in exponential form is:
649 = 111×591
∴ So by taking common prime factors GCF of 647 and 649 is 1
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors and prime factorization of 647 and 649. The biggest common factor number is the GCF number.
So the greatest common factor 647 and 649 is 1.
Also check out the Least Common Multiple of 647 and 649
(i) The GCF of 647 and 649 is associative
GCF of 647 and 649 = GCF of 649 and 647
1. What is the GCF of 647 and 649?
Answer: GCF of 647 and 649 is 1.
2. What are the Factors of 647?
Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.
3. What are the Factors of 649?
Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.
4. How to Find the GCF of 647 and 649?
Answer:
Greatest Common Factor of 647 and 649 = 1
Step 1: Find the prime factorization of 647
647 = 647
Step 2: Find the prime factorization of 649
649 = 11 x 59
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 647 and 649 is 1