What is the Greatest Common Factor of 44265 and 44278?

Greatest common factor (GCF) of 44265 and 44278 is 13.

GCF(44265,44278) = 13

We will now calculate the prime factors of 44265 and 44278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44265 and 44278.

How to find the GCF of 44265 and 44278?

We will first find the prime factorization of 44265 and 44278. After we will calculate the factors of 44265 and 44278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44278

Prime factors of 44278 are 2, 13, 131. Prime factorization of 44278 in exponential form is:

44278 = 2¹ × 13² × 131¹

Step-3: Factors of 44265

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

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

Step-4: Factors of 44278

List of positive integer factors of 44278 that divides 44265 without a remainder.

1, 2, 13, 26, 131, 169, 262, 338, 1703, 3406, 22139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44265 and 44278. The biggest common factor number is the GCF number.
So the greatest common factor 44265 and 44278 is 13.

Also check out the Least Common Multiple of 44265 and 44278