Greatest Common Factor of 1614 and 1616

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 1614, 1616 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1614 and 1616 is 2.

GCF(1614,1616) = 2

GCF of 1614 and 1616

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1614 and 1616

GCF of 1614 and 1616 is 2

Prime Factorization of 1614


2 1614
3 807
269 269
1

Prime factors of 1614 are 2,3,269. Prime factorization of 1614 in exponential form is:

1614 = 21×31×2691

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 1614 and 1616 is 2

Greatest Common Factor of 1614 and 1616 by matching factors method

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

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 1614 and 1616. The biggest common factor number is the GCF number.
So the greatest common factor 1614 and 1616 is 2.

Also check out the Least Common Multiple of 1614 and 1616

Properties of GCF 1614 and 1616

(i) The GCF of 1614 and 1616 is associative

GCF of 1614 and 1616 = GCF of 1616 and 1614

Related Greatest Common Factor of 1614

Related Greatest Common Factor of 1616

Frequently Asked Questions on GCF of 1614 and 1616

1. What is the GCF of 1614 and 1616?

Answer: GCF of 1614 and 1616 is 2.

2. What are the Factors of 1614?

Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.

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 1614 and 1616?

Answer:

Greatest Common Factor of 1614 and 1616 = 2

Step 1: Find the prime factorization of 1614

1614 = 2 x 3 x 269

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 1614 and 1616 is 2