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 1610, 1616 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1610 and 1616 is 2.
GCF(1610,1616) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1610
2 | 1610 |
5 | 805 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 1610 are 2,5,7,23. Prime factorization of 1610 in exponential form is:
1610 = 21×51×71×231
Prime Factorization of 1616
2 | 1616 |
2 | 808 |
2 | 404 |
2 | 202 |
101 | 101 |
1 |
Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:
1616 = 24×1011
∴ So by taking common prime factors GCF of 1610 and 1616 is 2
Factors of 1610
List of positive integer factors of 1610 that divides 1610 without a remainder.
1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Factors of 1616
List of positive integer factors of 1616 that divides 1616 without a remainder.
1,2,4,8,16,101,202,404,808,1616
Greatest Common Factor
We found the factors and prime factorization of 1610 and 1616. The biggest common factor number is the GCF number.
So the greatest common factor 1610 and 1616 is 2.
Also check out the Least Common Multiple of 1610 and 1616
(i) The GCF of 1610 and 1616 is associative
GCF of 1610 and 1616 = GCF of 1616 and 1610
1. What is the GCF of 1610 and 1616?
Answer: GCF of 1610 and 1616 is 2.
2. What are the Factors of 1610?
Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.
3. What are the Factors of 1616?
Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.
4. How to Find the GCF of 1610 and 1616?
Answer:
Greatest Common Factor of 1610 and 1616 = 2
Step 1: Find the prime factorization of 1610
1610 = 2 x 5 x 7 x 23
Step 2: Find the prime factorization of 1616
1616 = 2 x 2 x 2 x 2 x 101
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 1610 and 1616 is 2