What is the Greatest Common Factor of 1608 and 1616?

Greatest common factor (GCF) of 1608 and 1616 is 8.

GCF(1608,1616) = 8

We will now calculate the prime factors of 1608 and 1616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1608 and 1616.

How to find the GCF of 1608 and 1616?

We will first find the prime factorization of 1608 and 1616. After we will calculate the factors of 1608 and 1616 and find the biggest common factor number .

Step-1: Prime Factorization of 1608

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

1608 = 2³ × 3¹ × 67¹

Step-2: Prime Factorization of 1616

Prime factors of 1616 are 2, 101. Prime factorization of 1616 in exponential form is:

1616 = 2⁴ × 101¹

Step-3: 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

Step-4: Factors of 1616

List of positive integer factors of 1616 that divides 1608 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1608 and 1616. The biggest common factor number is the GCF number.
So the greatest common factor 1608 and 1616 is 8.

Also check out the Least Common Multiple of 1608 and 1616