What is the Greatest Common Factor of 66505 and 66520?

Greatest common factor (GCF) of 66505 and 66520 is 5.

GCF(66505,66520) = 5

We will now calculate the prime factors of 66505 and 66520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66505 and 66520.

How to find the GCF of 66505 and 66520?

We will first find the prime factorization of 66505 and 66520. After we will calculate the factors of 66505 and 66520 and find the biggest common factor number .

Step-1: Prime Factorization of 66505

Prime factors of 66505 are 5, 47, 283. Prime factorization of 66505 in exponential form is:

66505 = 5¹ × 47¹ × 283¹

Step-2: Prime Factorization of 66520

Prime factors of 66520 are 2, 5, 1663. Prime factorization of 66520 in exponential form is:

66520 = 2³ × 5¹ × 1663¹

Step-3: Factors of 66505

List of positive integer factors of 66505 that divides 66505 without a remainder.

1, 5, 47, 235, 283, 1415, 13301

Step-4: Factors of 66520

List of positive integer factors of 66520 that divides 66505 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1663, 3326, 6652, 8315, 13304, 16630, 33260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66505 and 66520. The biggest common factor number is the GCF number.
So the greatest common factor 66505 and 66520 is 5.

Also check out the Least Common Multiple of 66505 and 66520