What is the Greatest Common Factor of 44247 and 44265?

Greatest common factor (GCF) of 44247 and 44265 is 3.

GCF(44247,44265) = 3

We will now calculate the prime factors of 44247 and 44265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44247 and 44265.

How to find the GCF of 44247 and 44265?

We will first find the prime factorization of 44247 and 44265. After we will calculate the factors of 44247 and 44265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44265

Prime factors of 44265 are 3, 5, 13, 227. Prime factorization of 44265 in exponential form is:

44265 = 3¹ × 5¹ × 13¹ × 227¹

Step-3: Factors of 44247

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

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

Step-4: Factors of 44265

List of positive integer factors of 44265 that divides 44247 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 227, 681, 1135, 2951, 3405, 8853, 14755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44247 and 44265. The biggest common factor number is the GCF number.
So the greatest common factor 44247 and 44265 is 3.

Also check out the Least Common Multiple of 44247 and 44265