What is the Greatest Common Factor of 34392 and 34404?

Greatest common factor (GCF) of 34392 and 34404 is 12.

GCF(34392,34404) = 12

We will now calculate the prime factors of 34392 and 34404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34392 and 34404.

How to find the GCF of 34392 and 34404?

We will first find the prime factorization of 34392 and 34404. After we will calculate the factors of 34392 and 34404 and find the biggest common factor number .

Step-1: Prime Factorization of 34392

Prime factors of 34392 are 2, 3, 1433. Prime factorization of 34392 in exponential form is:

34392 = 2³ × 3¹ × 1433¹

Step-2: Prime Factorization of 34404

Prime factors of 34404 are 2, 3, 47, 61. Prime factorization of 34404 in exponential form is:

34404 = 2² × 3¹ × 47¹ × 61¹

Step-3: Factors of 34392

List of positive integer factors of 34392 that divides 34392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1433, 2866, 4299, 5732, 8598, 11464, 17196

Step-4: Factors of 34404

List of positive integer factors of 34404 that divides 34392 without a remainder.

1, 2, 3, 4, 6, 12, 47, 61, 94, 122, 141, 183, 188, 244, 282, 366, 564, 732, 2867, 5734, 8601, 11468, 17202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34392 and 34404. The biggest common factor number is the GCF number.
So the greatest common factor 34392 and 34404 is 12.

Also check out the Least Common Multiple of 34392 and 34404