What is the Greatest Common Factor of 633 and 648?

Greatest common factor (GCF) of 633 and 648 is 3.

GCF(633,648) = 3

We will now calculate the prime factors of 633 and 648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 633 and 648.

How to find the GCF of 633 and 648?

We will first find the prime factorization of 633 and 648. After we will calculate the factors of 633 and 648 and find the biggest common factor number .

Step-1: Prime Factorization of 633

Prime factors of 633 are 3, 211. Prime factorization of 633 in exponential form is:

633 = 3¹ × 211¹

Step-2: Prime Factorization of 648

Prime factors of 648 are 2, 3. Prime factorization of 648 in exponential form is:

648 = 2³ × 3⁴

Step-3: Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211

Step-4: Factors of 648

List of positive integer factors of 648 that divides 633 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 633 and 648. The biggest common factor number is the GCF number.
So the greatest common factor 633 and 648 is 3.

Also check out the Least Common Multiple of 633 and 648