What is the Greatest Common Factor of 70368 and 70379?

Greatest common factor (GCF) of 70368 and 70379 is 1.

GCF(70368,70379) = 1

We will now calculate the prime factors of 70368 and 70379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70368 and 70379.

How to find the GCF of 70368 and 70379?

We will first find the prime factorization of 70368 and 70379. After we will calculate the factors of 70368 and 70379 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 70379

Prime factors of 70379 are 70379. Prime factorization of 70379 in exponential form is:

70379 = 70379¹

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 70379

List of positive integer factors of 70379 that divides 70368 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70368 and 70379. The biggest common factor number is the GCF number.
So the greatest common factor 70368 and 70379 is 1.

Also check out the Least Common Multiple of 70368 and 70379