What is the Greatest Common Factor of 34404 and 34424?

Greatest common factor (GCF) of 34404 and 34424 is 4.

GCF(34404,34424) = 4

We will now calculate the prime factors of 34404 and 34424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34404 and 34424.

How to find the GCF of 34404 and 34424?

We will first find the prime factorization of 34404 and 34424. After we will calculate the factors of 34404 and 34424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34424

Prime factors of 34424 are 2, 13, 331. Prime factorization of 34424 in exponential form is:

34424 = 2³ × 13¹ × 331¹

Step-3: Factors of 34404

List of positive integer factors of 34404 that divides 34404 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

Step-4: Factors of 34424

List of positive integer factors of 34424 that divides 34404 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 331, 662, 1324, 2648, 4303, 8606, 17212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34404 and 34424. The biggest common factor number is the GCF number.
So the greatest common factor 34404 and 34424 is 4.

Also check out the Least Common Multiple of 34404 and 34424