What is the Greatest Common Factor of 44825 and 44845?

Greatest common factor (GCF) of 44825 and 44845 is 5.

GCF(44825,44845) = 5

We will now calculate the prime factors of 44825 and 44845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44825 and 44845.

How to find the GCF of 44825 and 44845?

We will first find the prime factorization of 44825 and 44845. After we will calculate the factors of 44825 and 44845 and find the biggest common factor number .

Step-1: Prime Factorization of 44825

Prime factors of 44825 are 5, 11, 163. Prime factorization of 44825 in exponential form is:

44825 = 5² × 11¹ × 163¹

Step-2: Prime Factorization of 44845

Prime factors of 44845 are 5, 8969. Prime factorization of 44845 in exponential form is:

44845 = 5¹ × 8969¹

Step-3: Factors of 44825

List of positive integer factors of 44825 that divides 44825 without a remainder.

1, 5, 11, 25, 55, 163, 275, 815, 1793, 4075, 8965

Step-4: Factors of 44845

List of positive integer factors of 44845 that divides 44825 without a remainder.

1, 5, 8969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44825 and 44845. The biggest common factor number is the GCF number.
So the greatest common factor 44825 and 44845 is 5.

Also check out the Least Common Multiple of 44825 and 44845