What is the Greatest Common Factor of 66633 and 66647?

Greatest common factor (GCF) of 66633 and 66647 is 7.

GCF(66633,66647) = 7

We will now calculate the prime factors of 66633 and 66647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66633 and 66647.

How to find the GCF of 66633 and 66647?

We will first find the prime factorization of 66633 and 66647. After we will calculate the factors of 66633 and 66647 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 66647

Prime factors of 66647 are 7, 9521. Prime factorization of 66647 in exponential form is:

66647 = 7¹ × 9521¹

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 66647

List of positive integer factors of 66647 that divides 66633 without a remainder.

1, 7, 9521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66633 and 66647. The biggest common factor number is the GCF number.
So the greatest common factor 66633 and 66647 is 7.

Also check out the Least Common Multiple of 66633 and 66647