What is the Greatest Common Factor of 34384 and 34404?

Greatest common factor (GCF) of 34384 and 34404 is 4.

GCF(34384,34404) = 4

We will now calculate the prime factors of 34384 and 34404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34384 and 34404.

How to find the GCF of 34384 and 34404?

We will first find the prime factorization of 34384 and 34404. After we will calculate the factors of 34384 and 34404 and find the biggest common factor number .

Step-1: Prime Factorization of 34384

Prime factors of 34384 are 2, 7, 307. Prime factorization of 34384 in exponential form is:

34384 = 2⁴ × 7¹ × 307¹

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 34384

List of positive integer factors of 34384 that divides 34384 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 17192

Step-4: Factors of 34404

List of positive integer factors of 34404 that divides 34384 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 34384 and 34404. The biggest common factor number is the GCF number.
So the greatest common factor 34384 and 34404 is 4.

Also check out the Least Common Multiple of 34384 and 34404