What is the Greatest Common Factor of 49338 and 49358?

Greatest common factor (GCF) of 49338 and 49358 is 2.

GCF(49338,49358) = 2

We will now calculate the prime factors of 49338 and 49358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49338 and 49358.

How to find the GCF of 49338 and 49358?

We will first find the prime factorization of 49338 and 49358. After we will calculate the factors of 49338 and 49358 and find the biggest common factor number .

Step-1: Prime Factorization of 49338

Prime factors of 49338 are 2, 3, 2741. Prime factorization of 49338 in exponential form is:

49338 = 2¹ × 3² × 2741¹

Step-2: Prime Factorization of 49358

Prime factors of 49358 are 2, 23, 29, 37. Prime factorization of 49358 in exponential form is:

49358 = 2¹ × 23¹ × 29¹ × 37¹

Step-3: Factors of 49338

List of positive integer factors of 49338 that divides 49338 without a remainder.

1, 2, 3, 6, 9, 18, 2741, 5482, 8223, 16446, 24669

Step-4: Factors of 49358

List of positive integer factors of 49358 that divides 49338 without a remainder.

1, 2, 23, 29, 37, 46, 58, 74, 667, 851, 1073, 1334, 1702, 2146, 24679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49338 and 49358. The biggest common factor number is the GCF number.
So the greatest common factor 49338 and 49358 is 2.

Also check out the Least Common Multiple of 49338 and 49358