What is the Greatest Common Factor of 44738 and 44750?

Greatest common factor (GCF) of 44738 and 44750 is 2.

GCF(44738,44750) = 2

We will now calculate the prime factors of 44738 and 44750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44738 and 44750.

How to find the GCF of 44738 and 44750?

We will first find the prime factorization of 44738 and 44750. After we will calculate the factors of 44738 and 44750 and find the biggest common factor number .

Step-1: Prime Factorization of 44738

Prime factors of 44738 are 2, 22369. Prime factorization of 44738 in exponential form is:

44738 = 2¹ × 22369¹

Step-2: Prime Factorization of 44750

Prime factors of 44750 are 2, 5, 179. Prime factorization of 44750 in exponential form is:

44750 = 2¹ × 5³ × 179¹

Step-3: Factors of 44738

List of positive integer factors of 44738 that divides 44738 without a remainder.

1, 2, 22369

Step-4: Factors of 44750

List of positive integer factors of 44750 that divides 44738 without a remainder.

1, 2, 5, 10, 25, 50, 125, 179, 250, 358, 895, 1790, 4475, 8950, 22375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44738 and 44750. The biggest common factor number is the GCF number.
So the greatest common factor 44738 and 44750 is 2.

Also check out the Least Common Multiple of 44738 and 44750