What is the Greatest Common Factor of 34224 and 34231?

Greatest common factor (GCF) of 34224 and 34231 is 1.

GCF(34224,34231) = 1

We will now calculate the prime factors of 34224 and 34231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34224 and 34231.

How to find the GCF of 34224 and 34231?

We will first find the prime factorization of 34224 and 34231. After we will calculate the factors of 34224 and 34231 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 34231

Prime factors of 34231 are 34231. Prime factorization of 34231 in exponential form is:

34231 = 34231¹

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 34231

List of positive integer factors of 34231 that divides 34224 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34224 and 34231. The biggest common factor number is the GCF number.
So the greatest common factor 34224 and 34231 is 1.

Also check out the Least Common Multiple of 34224 and 34231