What is the Greatest Common Factor of 62368 and 62378?

Greatest common factor (GCF) of 62368 and 62378 is 2.

GCF(62368,62378) = 2

We will now calculate the prime factors of 62368 and 62378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62368 and 62378.

How to find the GCF of 62368 and 62378?

We will first find the prime factorization of 62368 and 62378. After we will calculate the factors of 62368 and 62378 and find the biggest common factor number .

Step-1: Prime Factorization of 62368

Prime factors of 62368 are 2, 1949. Prime factorization of 62368 in exponential form is:

62368 = 2⁵ × 1949¹

Step-2: Prime Factorization of 62378

Prime factors of 62378 are 2, 31189. Prime factorization of 62378 in exponential form is:

62378 = 2¹ × 31189¹

Step-3: Factors of 62368

List of positive integer factors of 62368 that divides 62368 without a remainder.

1, 2, 4, 8, 16, 32, 1949, 3898, 7796, 15592, 31184

Step-4: Factors of 62378

List of positive integer factors of 62378 that divides 62368 without a remainder.

1, 2, 31189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62368 and 62378. The biggest common factor number is the GCF number.
So the greatest common factor 62368 and 62378 is 2.

Also check out the Least Common Multiple of 62368 and 62378