What is the Greatest Common Factor of 49314 and 49328?

Greatest common factor (GCF) of 49314 and 49328 is 2.

GCF(49314,49328) = 2

We will now calculate the prime factors of 49314 and 49328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49314 and 49328.

How to find the GCF of 49314 and 49328?

We will first find the prime factorization of 49314 and 49328. After we will calculate the factors of 49314 and 49328 and find the biggest common factor number .

Step-1: Prime Factorization of 49314

Prime factors of 49314 are 2, 3, 8219. Prime factorization of 49314 in exponential form is:

49314 = 2¹ × 3¹ × 8219¹

Step-2: Prime Factorization of 49328

Prime factors of 49328 are 2, 3083. Prime factorization of 49328 in exponential form is:

49328 = 2⁴ × 3083¹

Step-3: Factors of 49314

List of positive integer factors of 49314 that divides 49314 without a remainder.

1, 2, 3, 6, 8219, 16438, 24657

Step-4: Factors of 49328

List of positive integer factors of 49328 that divides 49314 without a remainder.

1, 2, 4, 8, 16, 3083, 6166, 12332, 24664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49314 and 49328. The biggest common factor number is the GCF number.
So the greatest common factor 49314 and 49328 is 2.

Also check out the Least Common Multiple of 49314 and 49328