What is the Greatest Common Factor of 44220 and 44238?

Greatest common factor (GCF) of 44220 and 44238 is 6.

GCF(44220,44238) = 6

We will now calculate the prime factors of 44220 and 44238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44220 and 44238.

How to find the GCF of 44220 and 44238?

We will first find the prime factorization of 44220 and 44238. After we will calculate the factors of 44220 and 44238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44238

Prime factors of 44238 are 2, 3, 73, 101. Prime factorization of 44238 in exponential form is:

44238 = 2¹ × 3¹ × 73¹ × 101¹

Step-3: Factors of 44220

List of positive integer factors of 44220 that divides 44220 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

Step-4: Factors of 44238

List of positive integer factors of 44238 that divides 44220 without a remainder.

1, 2, 3, 6, 73, 101, 146, 202, 219, 303, 438, 606, 7373, 14746, 22119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44220 and 44238. The biggest common factor number is the GCF number.
So the greatest common factor 44220 and 44238 is 6.

Also check out the Least Common Multiple of 44220 and 44238