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 1712, 1718 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1712 and 1718 is 2.
GCF(1712,1718) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1712
2 | 1712 |
2 | 856 |
2 | 428 |
2 | 214 |
107 | 107 |
1 |
Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:
1712 = 24×1071
Prime Factorization of 1718
2 | 1718 |
859 | 859 |
1 |
Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:
1718 = 21×8591
∴ So by taking common prime factors GCF of 1712 and 1718 is 2
Factors of 1712
List of positive integer factors of 1712 that divides 1712 without a remainder.
1,2,4,8,16,107,214,428,856,1712
Factors of 1718
List of positive integer factors of 1718 that divides 1718 without a remainder.
1,2,859,1718
Greatest Common Factor
We found the factors and prime factorization of 1712 and 1718. The biggest common factor number is the GCF number.
So the greatest common factor 1712 and 1718 is 2.
Also check out the Least Common Multiple of 1712 and 1718
(i) The GCF of 1712 and 1718 is associative
GCF of 1712 and 1718 = GCF of 1718 and 1712
1. What is the GCF of 1712 and 1718?
Answer: GCF of 1712 and 1718 is 2.
2. What are the Factors of 1712?
Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.
3. What are the Factors of 1718?
Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.
4. How to Find the GCF of 1712 and 1718?
Answer:
Greatest Common Factor of 1712 and 1718 = 2
Step 1: Find the prime factorization of 1712
1712 = 2 x 2 x 2 x 2 x 107
Step 2: Find the prime factorization of 1718
1718 = 2 x 859
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1712 and 1718 is 2