What is the Greatest Common Factor of 69223 and 69234?

Greatest common factor (GCF) of 69223 and 69234 is 11.

GCF(69223,69234) = 11

We will now calculate the prime factors of 69223 and 69234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69223 and 69234.

How to find the GCF of 69223 and 69234?

We will first find the prime factorization of 69223 and 69234. After we will calculate the factors of 69223 and 69234 and find the biggest common factor number .

Step-1: Prime Factorization of 69223

Prime factors of 69223 are 7, 11, 29, 31. Prime factorization of 69223 in exponential form is:

69223 = 7¹ × 11¹ × 29¹ × 31¹

Step-2: Prime Factorization of 69234

Prime factors of 69234 are 2, 3, 11, 1049. Prime factorization of 69234 in exponential form is:

69234 = 2¹ × 3¹ × 11¹ × 1049¹

Step-3: Factors of 69223

List of positive integer factors of 69223 that divides 69223 without a remainder.

1, 7, 11, 29, 31, 77, 203, 217, 319, 341, 899, 2233, 2387, 6293, 9889

Step-4: Factors of 69234

List of positive integer factors of 69234 that divides 69223 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1049, 2098, 3147, 6294, 11539, 23078, 34617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69223 and 69234. The biggest common factor number is the GCF number.
So the greatest common factor 69223 and 69234 is 11.

Also check out the Least Common Multiple of 69223 and 69234