What is the Greatest Common Factor of 34224 and 34232?

Greatest common factor (GCF) of 34224 and 34232 is 8.

GCF(34224,34232) = 8

We will now calculate the prime factors of 34224 and 34232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34224 and 34232.

How to find the GCF of 34224 and 34232?

We will first find the prime factorization of 34224 and 34232. After we will calculate the factors of 34224 and 34232 and find the biggest common factor number .

Step-1: Prime Factorization of 34224

Prime factors of 34224 are 2, 3, 23, 31. Prime factorization of 34224 in exponential form is:

34224 = 2⁴ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 34232

Prime factors of 34232 are 2, 11, 389. Prime factorization of 34232 in exponential form is:

34232 = 2³ × 11¹ × 389¹

Step-3: Factors of 34224

List of positive integer factors of 34224 that divides 34224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112

Step-4: Factors of 34232

List of positive integer factors of 34232 that divides 34224 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 389, 778, 1556, 3112, 4279, 8558, 17116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34224 and 34232. The biggest common factor number is the GCF number.
So the greatest common factor 34224 and 34232 is 8.

Also check out the Least Common Multiple of 34224 and 34232