What is the Greatest Common Factor of 66275 and 66290?

Greatest common factor (GCF) of 66275 and 66290 is 5.

GCF(66275,66290) = 5

We will now calculate the prime factors of 66275 and 66290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66275 and 66290.

How to find the GCF of 66275 and 66290?

We will first find the prime factorization of 66275 and 66290. After we will calculate the factors of 66275 and 66290 and find the biggest common factor number .

Step-1: Prime Factorization of 66275

Prime factors of 66275 are 5, 11, 241. Prime factorization of 66275 in exponential form is:

66275 = 5² × 11¹ × 241¹

Step-2: Prime Factorization of 66290

Prime factors of 66290 are 2, 5, 7, 947. Prime factorization of 66290 in exponential form is:

66290 = 2¹ × 5¹ × 7¹ × 947¹

Step-3: Factors of 66275

List of positive integer factors of 66275 that divides 66275 without a remainder.

1, 5, 11, 25, 55, 241, 275, 1205, 2651, 6025, 13255

Step-4: Factors of 66290

List of positive integer factors of 66290 that divides 66275 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 947, 1894, 4735, 6629, 9470, 13258, 33145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66275 and 66290. The biggest common factor number is the GCF number.
So the greatest common factor 66275 and 66290 is 5.

Also check out the Least Common Multiple of 66275 and 66290