What is the Greatest Common Factor of 66275 and 66285?

Greatest common factor (GCF) of 66275 and 66285 is 5.

GCF(66275,66285) = 5

We will now calculate the prime factors of 66275 and 66285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66275 and 66285.

How to find the GCF of 66275 and 66285?

We will first find the prime factorization of 66275 and 66285. After we will calculate the factors of 66275 and 66285 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 66285

Prime factors of 66285 are 3, 5, 491. Prime factorization of 66285 in exponential form is:

66285 = 3³ × 5¹ × 491¹

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 66285

List of positive integer factors of 66285 that divides 66275 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 491, 1473, 2455, 4419, 7365, 13257, 22095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66275 and 66285. The biggest common factor number is the GCF number.
So the greatest common factor 66275 and 66285 is 5.

Also check out the Least Common Multiple of 66275 and 66285