What is the Greatest Common Factor of 44278 and 44291?

Greatest common factor (GCF) of 44278 and 44291 is 13.

GCF(44278,44291) = 13

We will now calculate the prime factors of 44278 and 44291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44278 and 44291.

How to find the GCF of 44278 and 44291?

We will first find the prime factorization of 44278 and 44291. After we will calculate the factors of 44278 and 44291 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44291

Prime factors of 44291 are 13, 3407. Prime factorization of 44291 in exponential form is:

44291 = 13¹ × 3407¹

Step-3: Factors of 44278

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

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

Step-4: Factors of 44291

List of positive integer factors of 44291 that divides 44278 without a remainder.

1, 13, 3407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44278 and 44291. The biggest common factor number is the GCF number.
So the greatest common factor 44278 and 44291 is 13.

Also check out the Least Common Multiple of 44278 and 44291