What is the Greatest Common Factor of 66633 and 66648?

Greatest common factor (GCF) of 66633 and 66648 is 3.

GCF(66633,66648) = 3

We will now calculate the prime factors of 66633 and 66648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66633 and 66648.

How to find the GCF of 66633 and 66648?

We will first find the prime factorization of 66633 and 66648. After we will calculate the factors of 66633 and 66648 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 66648

Prime factors of 66648 are 2, 3, 2777. Prime factorization of 66648 in exponential form is:

66648 = 2³ × 3¹ × 2777¹

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 66648

List of positive integer factors of 66648 that divides 66633 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2777, 5554, 8331, 11108, 16662, 22216, 33324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66633 and 66648. The biggest common factor number is the GCF number.
So the greatest common factor 66633 and 66648 is 3.

Also check out the Least Common Multiple of 66633 and 66648