What is the Greatest Common Factor of 44250 and 44270?

Greatest common factor (GCF) of 44250 and 44270 is 10.

GCF(44250,44270) = 10

We will now calculate the prime factors of 44250 and 44270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44250 and 44270.

How to find the GCF of 44250 and 44270?

We will first find the prime factorization of 44250 and 44270. After we will calculate the factors of 44250 and 44270 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 44270

Prime factors of 44270 are 2, 5, 19, 233. Prime factorization of 44270 in exponential form is:

44270 = 2¹ × 5¹ × 19¹ × 233¹

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 44270

List of positive integer factors of 44270 that divides 44250 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 233, 466, 1165, 2330, 4427, 8854, 22135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44250 and 44270. The biggest common factor number is the GCF number.
So the greatest common factor 44250 and 44270 is 10.

Also check out the Least Common Multiple of 44250 and 44270