What is the Greatest Common Factor of 633 and 645?

Greatest common factor (GCF) of 633 and 645 is 3.

GCF(633,645) = 3

We will now calculate the prime factors of 633 and 645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 633 and 645.

How to find the GCF of 633 and 645?

We will first find the prime factorization of 633 and 645. After we will calculate the factors of 633 and 645 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 645

Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:

645 = 3¹ × 5¹ × 43¹

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 645

List of positive integer factors of 645 that divides 633 without a remainder.

1, 3, 5, 15, 43, 129, 215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 633 and 645. The biggest common factor number is the GCF number.
So the greatest common factor 633 and 645 is 3.

Also check out the Least Common Multiple of 633 and 645