What is the Greatest Common Factor of 44150 and 44170?

Greatest common factor (GCF) of 44150 and 44170 is 10.

GCF(44150,44170) = 10

We will now calculate the prime factors of 44150 and 44170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44150 and 44170.

How to find the GCF of 44150 and 44170?

We will first find the prime factorization of 44150 and 44170. After we will calculate the factors of 44150 and 44170 and find the biggest common factor number .

Step-1: Prime Factorization of 44150

Prime factors of 44150 are 2, 5, 883. Prime factorization of 44150 in exponential form is:

44150 = 2¹ × 5² × 883¹

Step-2: Prime Factorization of 44170

Prime factors of 44170 are 2, 5, 7, 631. Prime factorization of 44170 in exponential form is:

44170 = 2¹ × 5¹ × 7¹ × 631¹

Step-3: Factors of 44150

List of positive integer factors of 44150 that divides 44150 without a remainder.

1, 2, 5, 10, 25, 50, 883, 1766, 4415, 8830, 22075

Step-4: Factors of 44170

List of positive integer factors of 44170 that divides 44150 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 631, 1262, 3155, 4417, 6310, 8834, 22085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44150 and 44170. The biggest common factor number is the GCF number.
So the greatest common factor 44150 and 44170 is 10.

Also check out the Least Common Multiple of 44150 and 44170