What is the Greatest Common Factor of 66224 and 66242?

Greatest common factor (GCF) of 66224 and 66242 is 2.

GCF(66224,66242) = 2

We will now calculate the prime factors of 66224 and 66242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66224 and 66242.

How to find the GCF of 66224 and 66242?

We will first find the prime factorization of 66224 and 66242. After we will calculate the factors of 66224 and 66242 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 66242

Prime factors of 66242 are 2, 11, 3011. Prime factorization of 66242 in exponential form is:

66242 = 2¹ × 11¹ × 3011¹

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 66242

List of positive integer factors of 66242 that divides 66224 without a remainder.

1, 2, 11, 22, 3011, 6022, 33121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66224 and 66242. The biggest common factor number is the GCF number.
So the greatest common factor 66224 and 66242 is 2.

Also check out the Least Common Multiple of 66224 and 66242