GCF and LCM Calculator Logo

What is the Greatest Common Factor of 219 and 237?

Greatest common factor (GCF) of 219 and 237 is 3.

GCF(219,237) = 3

We will now calculate the prime factors of 219 and 237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 219 and 237.

GCF Calculator and
and

How to find the GCF of 219 and 237?

We will first find the prime factorization of 219 and 237. After we will calculate the factors of 219 and 237 and find the biggest common factor number .

Step-1: Prime Factorization of 219

Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:

219 = 31 × 731

Step-2: Prime Factorization of 237

Prime factors of 237 are 3, 79. Prime factorization of 237 in exponential form is:

237 = 31 × 791

Step-3: Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1, 3, 73

Step-4: Factors of 237

List of positive integer factors of 237 that divides 219 without a remainder.

1, 3, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 219 and 237. The biggest common factor number is the GCF number.
So the greatest common factor 219 and 237 is 3.

Also check out the Least Common Multiple of 219 and 237