Greatest Common Factor of 1608 and 1614

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 1608, 1614 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1608 and 1614 is 6.

GCF(1608,1614) = 6

GCF of 1608 and 1614

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

GCF of:
and

Greatest Common Factor of 1608 and 1614

GCF of 1608 and 1614 is 6

Prime Factorization of 1608


2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 1608 are 2,3,67. Prime factorization of 1608 in exponential form is:

1608 = 23×31×671

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

∴ So by taking common prime factors GCF of 1608 and 1614 is 6

Greatest Common Factor of 1608 and 1614 by matching factors method

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Factors of 1614

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

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

Greatest Common Factor

We found the factors and prime factorization of 1608 and 1614. The biggest common factor number is the GCF number.
So the greatest common factor 1608 and 1614 is 6.

Also check out the Least Common Multiple of 1608 and 1614

Properties of GCF 1608 and 1614

(i) The GCF of 1608 and 1614 is associative

GCF of 1608 and 1614 = GCF of 1614 and 1608

Related Greatest Common Factor of 1608

Related Greatest Common Factor of 1614

Frequently Asked Questions on GCF of 1608 and 1614

1. What is the GCF of 1608 and 1614?

Answer: GCF of 1608 and 1614 is 6.

2. What are the Factors of 1608?

Answer: Factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608. There are 16 integers that are factors of 1608. The greatest factor of 1608 is 1608.

3. 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.

4. How to Find the GCF of 1608 and 1614?

Answer:

Greatest Common Factor of 1608 and 1614 = 6

Step 1: Find the prime factorization of 1608

1608 = 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 1614

1614 = 2 x 3 x 269

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1608 and 1614 is 6