What is the Greatest Common Factor of 49350 and 49366?

Greatest common factor (GCF) of 49350 and 49366 is 2.

GCF(49350,49366) = 2

We will now calculate the prime factors of 49350 and 49366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49350 and 49366.

How to find the GCF of 49350 and 49366?

We will first find the prime factorization of 49350 and 49366. After we will calculate the factors of 49350 and 49366 and find the biggest common factor number .

Step-1: Prime Factorization of 49350

Prime factors of 49350 are 2, 3, 5, 7, 47. Prime factorization of 49350 in exponential form is:

49350 = 2¹ × 3¹ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 49366

Prime factors of 49366 are 2, 24683. Prime factorization of 49366 in exponential form is:

49366 = 2¹ × 24683¹

Step-3: Factors of 49350

List of positive integer factors of 49350 that divides 49350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 47, 50, 70, 75, 94, 105, 141, 150, 175, 210, 235, 282, 329, 350, 470, 525, 658, 705, 987, 1050, 1175, 1410, 1645, 1974, 2350, 3290, 3525, 4935, 7050, 8225, 9870, 16450, 24675

Step-4: Factors of 49366

List of positive integer factors of 49366 that divides 49350 without a remainder.

1, 2, 24683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49350 and 49366. The biggest common factor number is the GCF number.
So the greatest common factor 49350 and 49366 is 2.

Also check out the Least Common Multiple of 49350 and 49366