What is the Greatest Common Factor of 66633 and 66650?

Greatest common factor (GCF) of 66633 and 66650 is 1.

GCF(66633,66650) = 1

We will now calculate the prime factors of 66633 and 66650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66633 and 66650.

How to find the GCF of 66633 and 66650?

We will first find the prime factorization of 66633 and 66650. After we will calculate the factors of 66633 and 66650 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 66650

Prime factors of 66650 are 2, 5, 31, 43. Prime factorization of 66650 in exponential form is:

66650 = 2¹ × 5² × 31¹ × 43¹

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 66650

List of positive integer factors of 66650 that divides 66633 without a remainder.

1, 2, 5, 10, 25, 31, 43, 50, 62, 86, 155, 215, 310, 430, 775, 1075, 1333, 1550, 2150, 2666, 6665, 13330, 33325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66633 and 66650. The biggest common factor number is the GCF number.
So the greatest common factor 66633 and 66650 is 1.

Also check out the Least Common Multiple of 66633 and 66650