What is the Greatest Common Factor of 70368 and 70377?

Greatest common factor (GCF) of 70368 and 70377 is 3.

GCF(70368,70377) = 3

We will now calculate the prime factors of 70368 and 70377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70368 and 70377.

How to find the GCF of 70368 and 70377?

We will first find the prime factorization of 70368 and 70377. After we will calculate the factors of 70368 and 70377 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 70377

Prime factors of 70377 are 3, 23459. Prime factorization of 70377 in exponential form is:

70377 = 3¹ × 23459¹

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 70377

List of positive integer factors of 70377 that divides 70368 without a remainder.

1, 3, 23459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70368 and 70377. The biggest common factor number is the GCF number.
So the greatest common factor 70368 and 70377 is 3.

Also check out the Least Common Multiple of 70368 and 70377