What is the Greatest Common Factor of 66650 and 66655?

Greatest common factor (GCF) of 66650 and 66655 is 5.

GCF(66650,66655) = 5

We will now calculate the prime factors of 66650 and 66655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66650 and 66655.

How to find the GCF of 66650 and 66655?

We will first find the prime factorization of 66650 and 66655. After we will calculate the factors of 66650 and 66655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66655

Prime factors of 66655 are 5, 13331. Prime factorization of 66655 in exponential form is:

66655 = 5¹ × 13331¹

Step-3: Factors of 66650

List of positive integer factors of 66650 that divides 66650 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

Step-4: Factors of 66655

List of positive integer factors of 66655 that divides 66650 without a remainder.

1, 5, 13331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66650 and 66655. The biggest common factor number is the GCF number.
So the greatest common factor 66650 and 66655 is 5.

Also check out the Least Common Multiple of 66650 and 66655