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 651, 655 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 651 and 655 is 1.
GCF(651,655) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 651
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 651 are 3,7,31. Prime factorization of 651 in exponential form is:
651 = 31×71×311
Prime Factorization of 655
5 | 655 |
131 | 131 |
1 |
Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:
655 = 51×1311
∴ So by taking common prime factors GCF of 651 and 655 is 1
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors and prime factorization of 651 and 655. The biggest common factor number is the GCF number.
So the greatest common factor 651 and 655 is 1.
Also check out the Least Common Multiple of 651 and 655
(i) The GCF of 651 and 655 is associative
GCF of 651 and 655 = GCF of 655 and 651
1. What is the GCF of 651 and 655?
Answer: GCF of 651 and 655 is 1.
2. What are the Factors of 651?
Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.
3. What are the Factors of 655?
Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.
4. How to Find the GCF of 651 and 655?
Answer:
Greatest Common Factor of 651 and 655 = 1
Step 1: Find the prime factorization of 651
651 = 3 x 7 x 31
Step 2: Find the prime factorization of 655
655 = 5 x 131
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 651 and 655 is 1