What is the Greatest Common Factor of 66209 and 66220?

Greatest common factor (GCF) of 66209 and 66220 is 11.

GCF(66209,66220) = 11

We will now calculate the prime factors of 66209 and 66220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66209 and 66220.

How to find the GCF of 66209 and 66220?

We will first find the prime factorization of 66209 and 66220. After we will calculate the factors of 66209 and 66220 and find the biggest common factor number .

Step-1: Prime Factorization of 66209

Prime factors of 66209 are 11, 13, 463. Prime factorization of 66209 in exponential form is:

66209 = 11¹ × 13¹ × 463¹

Step-2: Prime Factorization of 66220

Prime factors of 66220 are 2, 5, 7, 11, 43. Prime factorization of 66220 in exponential form is:

66220 = 2² × 5¹ × 7¹ × 11¹ × 43¹

Step-3: Factors of 66209

List of positive integer factors of 66209 that divides 66209 without a remainder.

1, 11, 13, 143, 463, 5093, 6019

Step-4: Factors of 66220

List of positive integer factors of 66220 that divides 66209 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 43, 44, 55, 70, 77, 86, 110, 140, 154, 172, 215, 220, 301, 308, 385, 430, 473, 602, 770, 860, 946, 1204, 1505, 1540, 1892, 2365, 3010, 3311, 4730, 6020, 6622, 9460, 13244, 16555, 33110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66209 and 66220. The biggest common factor number is the GCF number.
So the greatest common factor 66209 and 66220 is 11.

Also check out the Least Common Multiple of 66209 and 66220