What is the Greatest Common Factor of 44164 and 44170?

Greatest common factor (GCF) of 44164 and 44170 is 2.

GCF(44164,44170) = 2

We will now calculate the prime factors of 44164 and 44170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44164 and 44170.

How to find the GCF of 44164 and 44170?

We will first find the prime factorization of 44164 and 44170. After we will calculate the factors of 44164 and 44170 and find the biggest common factor number .

Step-1: 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-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 44164

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

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

Step-4: Factors of 44170

List of positive integer factors of 44170 that divides 44164 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 44164 and 44170. The biggest common factor number is the GCF number.
So the greatest common factor 44164 and 44170 is 2.

Also check out the Least Common Multiple of 44164 and 44170