What is the Greatest Common Factor of 66218 and 66236?

Greatest common factor (GCF) of 66218 and 66236 is 2.

GCF(66218,66236) = 2

We will now calculate the prime factors of 66218 and 66236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66218 and 66236.

How to find the GCF of 66218 and 66236?

We will first find the prime factorization of 66218 and 66236. After we will calculate the factors of 66218 and 66236 and find the biggest common factor number .

Step-1: Prime Factorization of 66218

Prime factors of 66218 are 2, 113, 293. Prime factorization of 66218 in exponential form is:

66218 = 2¹ × 113¹ × 293¹

Step-2: Prime Factorization of 66236

Prime factors of 66236 are 2, 29, 571. Prime factorization of 66236 in exponential form is:

66236 = 2² × 29¹ × 571¹

Step-3: Factors of 66218

List of positive integer factors of 66218 that divides 66218 without a remainder.

1, 2, 113, 226, 293, 586, 33109

Step-4: Factors of 66236

List of positive integer factors of 66236 that divides 66218 without a remainder.

1, 2, 4, 29, 58, 116, 571, 1142, 2284, 16559, 33118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66218 and 66236. The biggest common factor number is the GCF number.
So the greatest common factor 66218 and 66236 is 2.

Also check out the Least Common Multiple of 66218 and 66236