What is the Greatest Common Factor of 44150 and 44164?

Greatest common factor (GCF) of 44150 and 44164 is 2.

GCF(44150,44164) = 2

We will now calculate the prime factors of 44150 and 44164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44150 and 44164.

How to find the GCF of 44150 and 44164?

We will first find the prime factorization of 44150 and 44164. After we will calculate the factors of 44150 and 44164 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 44164

Prime factors of 44164 are 2, 61, 181. Prime factorization of 44164 in exponential form is:

44164 = 2² × 61¹ × 181¹

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 44164

List of positive integer factors of 44164 that divides 44150 without a remainder.

1, 2, 4, 61, 122, 181, 244, 362, 724, 11041, 22082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44150 and 44164. The biggest common factor number is the GCF number.
So the greatest common factor 44150 and 44164 is 2.

Also check out the Least Common Multiple of 44150 and 44164