What is the Greatest Common Factor of 1608 and 1626?

Greatest common factor (GCF) of 1608 and 1626 is 6.

GCF(1608,1626) = 6

We will now calculate the prime factors of 1608 and 1626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1608 and 1626.

How to find the GCF of 1608 and 1626?

We will first find the prime factorization of 1608 and 1626. After we will calculate the factors of 1608 and 1626 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 1626

Prime factors of 1626 are 2, 3, 271. Prime factorization of 1626 in exponential form is:

1626 = 2¹ × 3¹ × 271¹

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 1626

List of positive integer factors of 1626 that divides 1608 without a remainder.

1, 2, 3, 6, 271, 542, 813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1608 and 1626. The biggest common factor number is the GCF number.
So the greatest common factor 1608 and 1626 is 6.

Also check out the Least Common Multiple of 1608 and 1626