What is the Greatest Common Factor of 44184 and 44204?

Greatest common factor (GCF) of 44184 and 44204 is 4.

GCF(44184,44204) = 4

We will now calculate the prime factors of 44184 and 44204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44184 and 44204.

How to find the GCF of 44184 and 44204?

We will first find the prime factorization of 44184 and 44204. After we will calculate the factors of 44184 and 44204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44204

Prime factors of 44204 are 2, 43, 257. Prime factorization of 44204 in exponential form is:

44204 = 2² × 43¹ × 257¹

Step-3: Factors of 44184

List of positive integer factors of 44184 that divides 44184 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

Step-4: Factors of 44204

List of positive integer factors of 44204 that divides 44184 without a remainder.

1, 2, 4, 43, 86, 172, 257, 514, 1028, 11051, 22102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44184 and 44204. The biggest common factor number is the GCF number.
So the greatest common factor 44184 and 44204 is 4.

Also check out the Least Common Multiple of 44184 and 44204