What is the Greatest Common Factor of 70384 and 70394?

Greatest common factor (GCF) of 70384 and 70394 is 2.

GCF(70384,70394) = 2

We will now calculate the prime factors of 70384 and 70394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70384 and 70394.

How to find the GCF of 70384 and 70394?

We will first find the prime factorization of 70384 and 70394. After we will calculate the factors of 70384 and 70394 and find the biggest common factor number .

Step-1: Prime Factorization of 70384

Prime factors of 70384 are 2, 53, 83. Prime factorization of 70384 in exponential form is:

70384 = 2⁴ × 53¹ × 83¹

Step-2: Prime Factorization of 70394

Prime factors of 70394 are 2, 61, 577. Prime factorization of 70394 in exponential form is:

70394 = 2¹ × 61¹ × 577¹

Step-3: Factors of 70384

List of positive integer factors of 70384 that divides 70384 without a remainder.

1, 2, 4, 8, 16, 53, 83, 106, 166, 212, 332, 424, 664, 848, 1328, 4399, 8798, 17596, 35192

Step-4: Factors of 70394

List of positive integer factors of 70394 that divides 70384 without a remainder.

1, 2, 61, 122, 577, 1154, 35197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70384 and 70394. The biggest common factor number is the GCF number.
So the greatest common factor 70384 and 70394 is 2.

Also check out the Least Common Multiple of 70384 and 70394