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, 1663 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1657 and 1663 is 1.
GCF(1657,1663) = 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 1663
1663 | 1663 |
1 |
Prime factors of 1663 are 1663.Prime factorization of 1663 in exponential form is:
1663 = 16631
∴ So by taking common prime factors GCF of 1657 and 1663 is 1
Factors of 1657
List of positive integer factors of 1657 that divides 1657 without a remainder.
1,1657
Factors of 1663
List of positive integer factors of 1663 that divides 1663 without a remainder.
1,1663
Greatest Common Factor
We found the factors and prime factorization of 1657 and 1663. The biggest common factor number is the GCF number.
So the greatest common factor 1657 and 1663 is 1.
Also check out the Least Common Multiple of 1657 and 1663
(i) The GCF of 1657 and 1663 is associative
GCF of 1657 and 1663 = GCF of 1663 and 1657
1. What is the GCF of 1657 and 1663?
Answer: GCF of 1657 and 1663 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 1663?
Answer: Factors of 1663 are 1, 1663. There are 2 integers that are factors of 1663. The greatest factor of 1663 is 1663.
4. How to Find the GCF of 1657 and 1663?
Answer:
Greatest Common Factor of 1657 and 1663 = 1
Step 1: Find the prime factorization of 1657
1657 = 1657
Step 2: Find the prime factorization of 1663
1663 = 1663
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 1663 is 1