What is the Greatest Common Factor of 44425 and 44445?

Greatest common factor (GCF) of 44425 and 44445 is 5.

GCF(44425,44445) = 5

We will now calculate the prime factors of 44425 and 44445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44425 and 44445.

How to find the GCF of 44425 and 44445?

We will first find the prime factorization of 44425 and 44445. After we will calculate the factors of 44425 and 44445 and find the biggest common factor number .

Step-1: Prime Factorization of 44425

Prime factors of 44425 are 5, 1777. Prime factorization of 44425 in exponential form is:

44425 = 5² × 1777¹

Step-2: Prime Factorization of 44445

Prime factors of 44445 are 3, 5, 2963. Prime factorization of 44445 in exponential form is:

44445 = 3¹ × 5¹ × 2963¹

Step-3: Factors of 44425

List of positive integer factors of 44425 that divides 44425 without a remainder.

1, 5, 25, 1777, 8885

Step-4: Factors of 44445

List of positive integer factors of 44445 that divides 44425 without a remainder.

1, 3, 5, 15, 2963, 8889, 14815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44425 and 44445. The biggest common factor number is the GCF number.
So the greatest common factor 44425 and 44445 is 5.

Also check out the Least Common Multiple of 44425 and 44445