What is the Greatest Common Factor of 44245 and 44265?

Greatest common factor (GCF) of 44245 and 44265 is 5.

GCF(44245,44265) = 5

We will now calculate the prime factors of 44245 and 44265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44245 and 44265.

How to find the GCF of 44245 and 44265?

We will first find the prime factorization of 44245 and 44265. After we will calculate the factors of 44245 and 44265 and find the biggest common factor number .

Step-1: Prime Factorization of 44245

Prime factors of 44245 are 5, 8849. Prime factorization of 44245 in exponential form is:

44245 = 5¹ × 8849¹

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 44245

List of positive integer factors of 44245 that divides 44245 without a remainder.

1, 5, 8849

Step-4: Factors of 44265

List of positive integer factors of 44265 that divides 44245 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 44245 and 44265. The biggest common factor number is the GCF number.
So the greatest common factor 44245 and 44265 is 5.

Also check out the Least Common Multiple of 44245 and 44265