What is the Greatest Common Factor of 66208 and 66220?

Greatest common factor (GCF) of 66208 and 66220 is 4.

GCF(66208,66220) = 4

We will now calculate the prime factors of 66208 and 66220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66208 and 66220.

How to find the GCF of 66208 and 66220?

We will first find the prime factorization of 66208 and 66220. After we will calculate the factors of 66208 and 66220 and find the biggest common factor number .

Step-1: Prime Factorization of 66208

Prime factors of 66208 are 2, 2069. Prime factorization of 66208 in exponential form is:

66208 = 2⁵ × 2069¹

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 66208

List of positive integer factors of 66208 that divides 66208 without a remainder.

1, 2, 4, 8, 16, 32, 2069, 4138, 8276, 16552, 33104

Step-4: Factors of 66220

List of positive integer factors of 66220 that divides 66208 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 66208 and 66220. The biggest common factor number is the GCF number.
So the greatest common factor 66208 and 66220 is 4.

Also check out the Least Common Multiple of 66208 and 66220