What is the Greatest Common Factor of 69222 and 69234?

Greatest common factor (GCF) of 69222 and 69234 is 6.

GCF(69222,69234) = 6

We will now calculate the prime factors of 69222 and 69234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69222 and 69234.

How to find the GCF of 69222 and 69234?

We will first find the prime factorization of 69222 and 69234. After we will calculate the factors of 69222 and 69234 and find the biggest common factor number .

Step-1: Prime Factorization of 69222

Prime factors of 69222 are 2, 3, 83, 139. Prime factorization of 69222 in exponential form is:

69222 = 2¹ × 3¹ × 83¹ × 139¹

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 69222

List of positive integer factors of 69222 that divides 69222 without a remainder.

1, 2, 3, 6, 83, 139, 166, 249, 278, 417, 498, 834, 11537, 23074, 34611

Step-4: Factors of 69234

List of positive integer factors of 69234 that divides 69222 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 69222 and 69234. The biggest common factor number is the GCF number.
So the greatest common factor 69222 and 69234 is 6.

Also check out the Least Common Multiple of 69222 and 69234