What is the Greatest Common Factor of 70382 and 70388?

Greatest common factor (GCF) of 70382 and 70388 is 2.

GCF(70382,70388) = 2

We will now calculate the prime factors of 70382 and 70388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70382 and 70388.

How to find the GCF of 70382 and 70388?

We will first find the prime factorization of 70382 and 70388. After we will calculate the factors of 70382 and 70388 and find the biggest common factor number .

Step-1: Prime Factorization of 70382

Prime factors of 70382 are 2, 13, 2707. Prime factorization of 70382 in exponential form is:

70382 = 2¹ × 13¹ × 2707¹

Step-2: Prime Factorization of 70388

Prime factors of 70388 are 2, 17597. Prime factorization of 70388 in exponential form is:

70388 = 2² × 17597¹

Step-3: Factors of 70382

List of positive integer factors of 70382 that divides 70382 without a remainder.

1, 2, 13, 26, 2707, 5414, 35191

Step-4: Factors of 70388

List of positive integer factors of 70388 that divides 70382 without a remainder.

1, 2, 4, 17597, 35194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70382 and 70388. The biggest common factor number is the GCF number.
So the greatest common factor 70382 and 70388 is 2.

Also check out the Least Common Multiple of 70382 and 70388