What is the Greatest Common Factor of 70368 and 70382?

Greatest common factor (GCF) of 70368 and 70382 is 2.

GCF(70368,70382) = 2

We will now calculate the prime factors of 70368 and 70382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70368 and 70382.

How to find the GCF of 70368 and 70382?

We will first find the prime factorization of 70368 and 70382. After we will calculate the factors of 70368 and 70382 and find the biggest common factor number .

Step-1: Prime Factorization of 70368

Prime factors of 70368 are 2, 3, 733. Prime factorization of 70368 in exponential form is:

70368 = 2⁵ × 3¹ × 733¹

Step-2: 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-3: Factors of 70368

List of positive integer factors of 70368 that divides 70368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 733, 1466, 2199, 2932, 4398, 5864, 8796, 11728, 17592, 23456, 35184

Step-4: Factors of 70382

List of positive integer factors of 70382 that divides 70368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70368 and 70382. The biggest common factor number is the GCF number.
So the greatest common factor 70368 and 70382 is 2.

Also check out the Least Common Multiple of 70368 and 70382