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 712, 717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 712 and 717 is 1.
GCF(712,717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 712
2 | 712 |
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:
712 = 23×891
Prime Factorization of 717
3 | 717 |
239 | 239 |
1 |
Prime factors of 717 are 3,239. Prime factorization of 717 in exponential form is:
717 = 31×2391
∴ So by taking common prime factors GCF of 712 and 717 is 1
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Greatest Common Factor
We found the factors and prime factorization of 712 and 717. The biggest common factor number is the GCF number.
So the greatest common factor 712 and 717 is 1.
Also check out the Least Common Multiple of 712 and 717
(i) The GCF of 712 and 717 is associative
GCF of 712 and 717 = GCF of 717 and 712
1. What is the GCF of 712 and 717?
Answer: GCF of 712 and 717 is 1.
2. What are the Factors of 712?
Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.
3. What are the Factors of 717?
Answer: Factors of 717 are 1, 3, 239, 717. There are 4 integers that are factors of 717. The greatest factor of 717 is 717.
4. How to Find the GCF of 712 and 717?
Answer:
Greatest Common Factor of 712 and 717 = 1
Step 1: Find the prime factorization of 712
712 = 2 x 2 x 2 x 89
Step 2: Find the prime factorization of 717
717 = 3 x 239
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 712 and 717 is 1