What is the Greatest Common Factor of 34384 and 34402?

Greatest common factor (GCF) of 34384 and 34402 is 2.

GCF(34384,34402) = 2

We will now calculate the prime factors of 34384 and 34402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34384 and 34402.

How to find the GCF of 34384 and 34402?

We will first find the prime factorization of 34384 and 34402. After we will calculate the factors of 34384 and 34402 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 34402

Prime factors of 34402 are 2, 103, 167. Prime factorization of 34402 in exponential form is:

34402 = 2¹ × 103¹ × 167¹

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 34402

List of positive integer factors of 34402 that divides 34384 without a remainder.

1, 2, 103, 167, 206, 334, 17201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34384 and 34402. The biggest common factor number is the GCF number.
So the greatest common factor 34384 and 34402 is 2.

Also check out the Least Common Multiple of 34384 and 34402