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 1657, 1662 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1657 and 1662 is 1.
GCF(1657,1662) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1657
1657 | 1657 |
1 |
Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:
1657 = 16571
Prime Factorization of 1662
2 | 1662 |
3 | 831 |
277 | 277 |
1 |
Prime factors of 1662 are 2.Prime factorization of 1662 in exponential form is:
1662 = 21×31×2771
∴ So by taking common prime factors GCF of 1657 and 1662 is 1
Factors of 1657
List of positive integer factors of 1657 that divides 1657 without a remainder.
1,1657
Factors of 1662
List of positive integer factors of 1662 that divides 1662 without a remainder.
1,2,3,6,277,554,831,1662
Greatest Common Factor
We found the factors and prime factorization of 1657 and 1662. The biggest common factor number is the GCF number.
So the greatest common factor 1657 and 1662 is 1.
Also check out the Least Common Multiple of 1657 and 1662
(i) The GCF of 1657 and 1662 is associative
GCF of 1657 and 1662 = GCF of 1662 and 1657
1. What is the GCF of 1657 and 1662?
Answer: GCF of 1657 and 1662 is 1.
2. What are the Factors of 1657?
Answer: Factors of 1657 are 1, 1657. There are 2 integers that are factors of 1657. The greatest factor of 1657 is 1657.
3. What are the Factors of 1662?
Answer: Factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662. There are 8 integers that are factors of 1662. The greatest factor of 1662 is 1662.
4. How to Find the GCF of 1657 and 1662?
Answer:
Greatest Common Factor of 1657 and 1662 = 1
Step 1: Find the prime factorization of 1657
1657 = 1657
Step 2: Find the prime factorization of 1662
1662 = 2 x 3 x 277
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 1657 and 1662 is 1