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 649, 654 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 649 and 654 is 1.
GCF(649,654) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 649
11 | 649 |
59 | 59 |
1 |
Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:
649 = 111×591
Prime Factorization of 654
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 654 are 2,3,109. Prime factorization of 654 in exponential form is:
654 = 21×31×1091
∴ So by taking common prime factors GCF of 649 and 654 is 1
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors and prime factorization of 649 and 654. The biggest common factor number is the GCF number.
So the greatest common factor 649 and 654 is 1.
Also check out the Least Common Multiple of 649 and 654
(i) The GCF of 649 and 654 is associative
GCF of 649 and 654 = GCF of 654 and 649
1. What is the GCF of 649 and 654?
Answer: GCF of 649 and 654 is 1.
2. 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.
3. What are the Factors of 654?
Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.
4. How to Find the GCF of 649 and 654?
Answer:
Greatest Common Factor of 649 and 654 = 1
Step 1: Find the prime factorization of 649
649 = 11 x 59
Step 2: Find the prime factorization of 654
654 = 2 x 3 x 109
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 649 and 654 is 1