What is the Greatest Common Factor of 1647 and 1662?

Greatest common factor (GCF) of 1647 and 1662 is 3.

GCF(1647,1662) = 3

We will now calculate the prime factors of 1647 and 1662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1647 and 1662.

How to find the GCF of 1647 and 1662?

We will first find the prime factorization of 1647 and 1662. After we will calculate the factors of 1647 and 1662 and find the biggest common factor number .

Step-1: Prime Factorization of 1647

Prime factors of 1647 are 3, 61. Prime factorization of 1647 in exponential form is:

1647 = 3³ × 61¹

Step-2: Prime Factorization of 1662

Prime factors of 1662 are 2, 3, 277. Prime factorization of 1662 in exponential form is:

1662 = 2¹ × 3¹ × 277¹

Step-3: Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1, 3, 9, 27, 61, 183, 549

Step-4: Factors of 1662

List of positive integer factors of 1662 that divides 1647 without a remainder.

1, 2, 3, 6, 277, 554, 831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1647 and 1662. The biggest common factor number is the GCF number.
So the greatest common factor 1647 and 1662 is 3.

Also check out the Least Common Multiple of 1647 and 1662