What is the Greatest Common Factor of 66633 and 66651?

Greatest common factor (GCF) of 66633 and 66651 is 3.

GCF(66633,66651) = 3

We will now calculate the prime factors of 66633 and 66651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66633 and 66651.

How to find the GCF of 66633 and 66651?

We will first find the prime factorization of 66633 and 66651. After we will calculate the factors of 66633 and 66651 and find the biggest common factor number .

Step-1: Prime Factorization of 66633

Prime factors of 66633 are 3, 7, 19, 167. Prime factorization of 66633 in exponential form is:

66633 = 3¹ × 7¹ × 19¹ × 167¹

Step-2: Prime Factorization of 66651

Prime factors of 66651 are 3, 13, 1709. Prime factorization of 66651 in exponential form is:

66651 = 3¹ × 13¹ × 1709¹

Step-3: Factors of 66633

List of positive integer factors of 66633 that divides 66633 without a remainder.

1, 3, 7, 19, 21, 57, 133, 167, 399, 501, 1169, 3173, 3507, 9519, 22211

Step-4: Factors of 66651

List of positive integer factors of 66651 that divides 66633 without a remainder.

1, 3, 13, 39, 1709, 5127, 22217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66633 and 66651. The biggest common factor number is the GCF number.
So the greatest common factor 66633 and 66651 is 3.

Also check out the Least Common Multiple of 66633 and 66651