What is the Greatest Common Factor of 44710 and 44725?

Greatest common factor (GCF) of 44710 and 44725 is 5.

GCF(44710,44725) = 5

We will now calculate the prime factors of 44710 and 44725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44710 and 44725.

How to find the GCF of 44710 and 44725?

We will first find the prime factorization of 44710 and 44725. After we will calculate the factors of 44710 and 44725 and find the biggest common factor number .

Step-1: Prime Factorization of 44710

Prime factors of 44710 are 2, 5, 17, 263. Prime factorization of 44710 in exponential form is:

44710 = 2¹ × 5¹ × 17¹ × 263¹

Step-2: Prime Factorization of 44725

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

44725 = 5² × 1789¹

Step-3: Factors of 44710

List of positive integer factors of 44710 that divides 44710 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 263, 526, 1315, 2630, 4471, 8942, 22355

Step-4: Factors of 44725

List of positive integer factors of 44725 that divides 44710 without a remainder.

1, 5, 25, 1789, 8945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44710 and 44725. The biggest common factor number is the GCF number.
So the greatest common factor 44710 and 44725 is 5.

Also check out the Least Common Multiple of 44710 and 44725