What is the Greatest Common Factor of 44725 and 44740?

Greatest common factor (GCF) of 44725 and 44740 is 5.

GCF(44725,44740) = 5

We will now calculate the prime factors of 44725 and 44740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44725 and 44740.

How to find the GCF of 44725 and 44740?

We will first find the prime factorization of 44725 and 44740. After we will calculate the factors of 44725 and 44740 and find the biggest common factor number .

Step-1: Prime Factorization of 44725

Prime factors of 44725 are 5, 1789. Prime factorization of 44725 in exponential form is:

44725 = 5² × 1789¹

Step-2: Prime Factorization of 44740

Prime factors of 44740 are 2, 5, 2237. Prime factorization of 44740 in exponential form is:

44740 = 2² × 5¹ × 2237¹

Step-3: Factors of 44725

List of positive integer factors of 44725 that divides 44725 without a remainder.

1, 5, 25, 1789, 8945

Step-4: Factors of 44740

List of positive integer factors of 44740 that divides 44725 without a remainder.

1, 2, 4, 5, 10, 20, 2237, 4474, 8948, 11185, 22370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44725 and 44740. The biggest common factor number is the GCF number.
So the greatest common factor 44725 and 44740 is 5.

Also check out the Least Common Multiple of 44725 and 44740