What is the Greatest Common Factor of 44238 and 44253?

Greatest common factor (GCF) of 44238 and 44253 is 3.

GCF(44238,44253) = 3

We will now calculate the prime factors of 44238 and 44253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44238 and 44253.

How to find the GCF of 44238 and 44253?

We will first find the prime factorization of 44238 and 44253. After we will calculate the factors of 44238 and 44253 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44253

Prime factors of 44253 are 3, 11, 149. Prime factorization of 44253 in exponential form is:

44253 = 3³ × 11¹ × 149¹

Step-3: Factors of 44238

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

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

Step-4: Factors of 44253

List of positive integer factors of 44253 that divides 44238 without a remainder.

1, 3, 9, 11, 27, 33, 99, 149, 297, 447, 1341, 1639, 4023, 4917, 14751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44238 and 44253. The biggest common factor number is the GCF number.
So the greatest common factor 44238 and 44253 is 3.

Also check out the Least Common Multiple of 44238 and 44253