What is the Greatest Common Factor of 37218 and 37234?

Greatest common factor (GCF) of 37218 and 37234 is 2.

GCF(37218,37234) = 2

We will now calculate the prime factors of 37218 and 37234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37218 and 37234.

How to find the GCF of 37218 and 37234?

We will first find the prime factorization of 37218 and 37234. After we will calculate the factors of 37218 and 37234 and find the biggest common factor number .

Step-1: Prime Factorization of 37218

Prime factors of 37218 are 2, 3, 6203. Prime factorization of 37218 in exponential form is:

37218 = 2¹ × 3¹ × 6203¹

Step-2: Prime Factorization of 37234

Prime factors of 37234 are 2, 18617. Prime factorization of 37234 in exponential form is:

37234 = 2¹ × 18617¹

Step-3: Factors of 37218

List of positive integer factors of 37218 that divides 37218 without a remainder.

1, 2, 3, 6, 6203, 12406, 18609

Step-4: Factors of 37234

List of positive integer factors of 37234 that divides 37218 without a remainder.

1, 2, 18617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37218 and 37234. The biggest common factor number is the GCF number.
So the greatest common factor 37218 and 37234 is 2.

Also check out the Least Common Multiple of 37218 and 37234