What is the Greatest Common Factor of 44250 and 44258?

Greatest common factor (GCF) of 44250 and 44258 is 2.

GCF(44250,44258) = 2

We will now calculate the prime factors of 44250 and 44258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44250 and 44258.

How to find the GCF of 44250 and 44258?

We will first find the prime factorization of 44250 and 44258. After we will calculate the factors of 44250 and 44258 and find the biggest common factor number .

Step-1: Prime Factorization of 44250

Prime factors of 44250 are 2, 3, 5, 59. Prime factorization of 44250 in exponential form is:

44250 = 2¹ × 3¹ × 5³ × 59¹

Step-2: Prime Factorization of 44258

Prime factors of 44258 are 2, 22129. Prime factorization of 44258 in exponential form is:

44258 = 2¹ × 22129¹

Step-3: Factors of 44250

List of positive integer factors of 44250 that divides 44250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 125, 150, 177, 250, 295, 354, 375, 590, 750, 885, 1475, 1770, 2950, 4425, 7375, 8850, 14750, 22125

Step-4: Factors of 44258

List of positive integer factors of 44258 that divides 44250 without a remainder.

1, 2, 22129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44250 and 44258. The biggest common factor number is the GCF number.
So the greatest common factor 44250 and 44258 is 2.

Also check out the Least Common Multiple of 44250 and 44258