What is the Greatest Common Factor of 633 and 651?

Greatest common factor (GCF) of 633 and 651 is 3.

GCF(633,651) = 3

We will now calculate the prime factors of 633 and 651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 633 and 651.

How to find the GCF of 633 and 651?

We will first find the prime factorization of 633 and 651. After we will calculate the factors of 633 and 651 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 651

Prime factors of 651 are 3, 7, 31. Prime factorization of 651 in exponential form is:

651 = 3¹ × 7¹ × 31¹

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 651

List of positive integer factors of 651 that divides 633 without a remainder.

1, 3, 7, 21, 31, 93, 217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 633 and 651. The biggest common factor number is the GCF number.
So the greatest common factor 633 and 651 is 3.

Also check out the Least Common Multiple of 633 and 651