What is the Greatest Common Factor of 44238 and 44247?

Greatest common factor (GCF) of 44238 and 44247 is 3.

GCF(44238,44247) = 3

We will now calculate the prime factors of 44238 and 44247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44238 and 44247.

How to find the GCF of 44238 and 44247?

We will first find the prime factorization of 44238 and 44247. After we will calculate the factors of 44238 and 44247 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 44247

Prime factors of 44247 are 3, 7, 43. Prime factorization of 44247 in exponential form is:

44247 = 3¹ × 7³ × 43¹

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 44247

List of positive integer factors of 44247 that divides 44238 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 343, 903, 1029, 2107, 6321, 14749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44238 and 44247. The biggest common factor number is the GCF number.
So the greatest common factor 44238 and 44247 is 3.

Also check out the Least Common Multiple of 44238 and 44247