What is the Greatest Common Factor of 44164 and 44184?

Greatest common factor (GCF) of 44164 and 44184 is 4.

GCF(44164,44184) = 4

We will now calculate the prime factors of 44164 and 44184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44164 and 44184.

How to find the GCF of 44164 and 44184?

We will first find the prime factorization of 44164 and 44184. After we will calculate the factors of 44164 and 44184 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 44184

Prime factors of 44184 are 2, 3, 7, 263. Prime factorization of 44184 in exponential form is:

44184 = 2³ × 3¹ × 7¹ × 263¹

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 44184

List of positive integer factors of 44184 that divides 44164 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 263, 526, 789, 1052, 1578, 1841, 2104, 3156, 3682, 5523, 6312, 7364, 11046, 14728, 22092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44164 and 44184. The biggest common factor number is the GCF number.
So the greatest common factor 44164 and 44184 is 4.

Also check out the Least Common Multiple of 44164 and 44184