What is the Greatest Common Factor of 34223 and 34237?

Greatest common factor (GCF) of 34223 and 34237 is 7.

GCF(34223,34237) = 7

We will now calculate the prime factors of 34223 and 34237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34223 and 34237.

How to find the GCF of 34223 and 34237?

We will first find the prime factorization of 34223 and 34237. After we will calculate the factors of 34223 and 34237 and find the biggest common factor number .

Step-1: Prime Factorization of 34223

Prime factors of 34223 are 7, 4889. Prime factorization of 34223 in exponential form is:

34223 = 7¹ × 4889¹

Step-2: Prime Factorization of 34237

Prime factors of 34237 are 7, 67, 73. Prime factorization of 34237 in exponential form is:

34237 = 7¹ × 67¹ × 73¹

Step-3: Factors of 34223

List of positive integer factors of 34223 that divides 34223 without a remainder.

1, 7, 4889

Step-4: Factors of 34237

List of positive integer factors of 34237 that divides 34223 without a remainder.

1, 7, 67, 73, 469, 511, 4891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34223 and 34237. The biggest common factor number is the GCF number.
So the greatest common factor 34223 and 34237 is 7.

Also check out the Least Common Multiple of 34223 and 34237