What is the Greatest Common Factor of 44235 and 44250?

Greatest common factor (GCF) of 44235 and 44250 is 15.

GCF(44235,44250) = 15

We will now calculate the prime factors of 44235 and 44250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44235 and 44250.

How to find the GCF of 44235 and 44250?

We will first find the prime factorization of 44235 and 44250. After we will calculate the factors of 44235 and 44250 and find the biggest common factor number .

Step-1: Prime Factorization of 44235

Prime factors of 44235 are 3, 5, 983. Prime factorization of 44235 in exponential form is:

44235 = 3² × 5¹ × 983¹

Step-2: 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-3: Factors of 44235

List of positive integer factors of 44235 that divides 44235 without a remainder.

1, 3, 5, 9, 15, 45, 983, 2949, 4915, 8847, 14745

Step-4: Factors of 44250

List of positive integer factors of 44250 that divides 44235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44235 and 44250. The biggest common factor number is the GCF number.
So the greatest common factor 44235 and 44250 is 15.

Also check out the Least Common Multiple of 44235 and 44250