What is the Greatest Common Factor of 44204 and 44220?

Greatest common factor (GCF) of 44204 and 44220 is 4.

GCF(44204,44220) = 4

We will now calculate the prime factors of 44204 and 44220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44204 and 44220.

How to find the GCF of 44204 and 44220?

We will first find the prime factorization of 44204 and 44220. After we will calculate the factors of 44204 and 44220 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44220

Prime factors of 44220 are 2, 3, 5, 11, 67. Prime factorization of 44220 in exponential form is:

44220 = 2² × 3¹ × 5¹ × 11¹ × 67¹

Step-3: Factors of 44204

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

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

Step-4: Factors of 44220

List of positive integer factors of 44220 that divides 44204 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 67, 110, 132, 134, 165, 201, 220, 268, 330, 335, 402, 660, 670, 737, 804, 1005, 1340, 1474, 2010, 2211, 2948, 3685, 4020, 4422, 7370, 8844, 11055, 14740, 22110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44204 and 44220. The biggest common factor number is the GCF number.
So the greatest common factor 44204 and 44220 is 4.

Also check out the Least Common Multiple of 44204 and 44220