What is the Greatest Common Factor of 44438 and 44455?

Greatest common factor (GCF) of 44438 and 44455 is 17.

GCF(44438,44455) = 17

We will now calculate the prime factors of 44438 and 44455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44438 and 44455.

How to find the GCF of 44438 and 44455?

We will first find the prime factorization of 44438 and 44455. After we will calculate the factors of 44438 and 44455 and find the biggest common factor number .

Step-1: Prime Factorization of 44438

Prime factors of 44438 are 2, 17, 1307. Prime factorization of 44438 in exponential form is:

44438 = 2¹ × 17¹ × 1307¹

Step-2: Prime Factorization of 44455

Prime factors of 44455 are 5, 17, 523. Prime factorization of 44455 in exponential form is:

44455 = 5¹ × 17¹ × 523¹

Step-3: Factors of 44438

List of positive integer factors of 44438 that divides 44438 without a remainder.

1, 2, 17, 34, 1307, 2614, 22219

Step-4: Factors of 44455

List of positive integer factors of 44455 that divides 44438 without a remainder.

1, 5, 17, 85, 523, 2615, 8891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44438 and 44455. The biggest common factor number is the GCF number.
So the greatest common factor 44438 and 44455 is 17.

Also check out the Least Common Multiple of 44438 and 44455