What is the Greatest Common Factor of 44230 and 44250?

Greatest common factor (GCF) of 44230 and 44250 is 10.

GCF(44230,44250) = 10

We will now calculate the prime factors of 44230 and 44250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44230 and 44250.

How to find the GCF of 44230 and 44250?

We will first find the prime factorization of 44230 and 44250. After we will calculate the factors of 44230 and 44250 and find the biggest common factor number .

Step-1: Prime Factorization of 44230

Prime factors of 44230 are 2, 5, 4423. Prime factorization of 44230 in exponential form is:

44230 = 2¹ × 5¹ × 4423¹

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 44230

List of positive integer factors of 44230 that divides 44230 without a remainder.

1, 2, 5, 10, 4423, 8846, 22115

Step-4: Factors of 44250

List of positive integer factors of 44250 that divides 44230 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 44230 and 44250. The biggest common factor number is the GCF number.
So the greatest common factor 44230 and 44250 is 10.

Also check out the Least Common Multiple of 44230 and 44250