What is the Greatest Common Factor of 1608 and 1628?

Greatest common factor (GCF) of 1608 and 1628 is 4.

GCF(1608,1628) = 4

We will now calculate the prime factors of 1608 and 1628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1608 and 1628.

How to find the GCF of 1608 and 1628?

We will first find the prime factorization of 1608 and 1628. After we will calculate the factors of 1608 and 1628 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 1628

Prime factors of 1628 are 2, 11, 37. Prime factorization of 1628 in exponential form is:

1628 = 2² × 11¹ × 37¹

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 1628

List of positive integer factors of 1628 that divides 1608 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1608 and 1628. The biggest common factor number is the GCF number.
So the greatest common factor 1608 and 1628 is 4.

Also check out the Least Common Multiple of 1608 and 1628