What is the Greatest Common Factor of 66224 and 66228?

Greatest common factor (GCF) of 66224 and 66228 is 4.

GCF(66224,66228) = 4

We will now calculate the prime factors of 66224 and 66228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66224 and 66228.

How to find the GCF of 66224 and 66228?

We will first find the prime factorization of 66224 and 66228. After we will calculate the factors of 66224 and 66228 and find the biggest common factor number .

Step-1: Prime Factorization of 66224

Prime factors of 66224 are 2, 4139. Prime factorization of 66224 in exponential form is:

66224 = 2⁴ × 4139¹

Step-2: Prime Factorization of 66228

Prime factors of 66228 are 2, 3, 5519. Prime factorization of 66228 in exponential form is:

66228 = 2² × 3¹ × 5519¹

Step-3: Factors of 66224

List of positive integer factors of 66224 that divides 66224 without a remainder.

1, 2, 4, 8, 16, 4139, 8278, 16556, 33112

Step-4: Factors of 66228

List of positive integer factors of 66228 that divides 66224 without a remainder.

1, 2, 3, 4, 6, 12, 5519, 11038, 16557, 22076, 33114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66224 and 66228. The biggest common factor number is the GCF number.
So the greatest common factor 66224 and 66228 is 4.

Also check out the Least Common Multiple of 66224 and 66228