What is the Greatest Common Factor of 44575 and 44590?

Greatest common factor (GCF) of 44575 and 44590 is 5.

GCF(44575,44590) = 5

We will now calculate the prime factors of 44575 and 44590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44575 and 44590.

How to find the GCF of 44575 and 44590?

We will first find the prime factorization of 44575 and 44590. After we will calculate the factors of 44575 and 44590 and find the biggest common factor number .

Step-1: Prime Factorization of 44575

Prime factors of 44575 are 5, 1783. Prime factorization of 44575 in exponential form is:

44575 = 5² × 1783¹

Step-2: Prime Factorization of 44590

Prime factors of 44590 are 2, 5, 7, 13. Prime factorization of 44590 in exponential form is:

44590 = 2¹ × 5¹ × 7³ × 13¹

Step-3: Factors of 44575

List of positive integer factors of 44575 that divides 44575 without a remainder.

1, 5, 25, 1783, 8915

Step-4: Factors of 44590

List of positive integer factors of 44590 that divides 44575 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 343, 455, 490, 637, 686, 910, 1274, 1715, 3185, 3430, 4459, 6370, 8918, 22295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44575 and 44590. The biggest common factor number is the GCF number.
So the greatest common factor 44575 and 44590 is 5.

Also check out the Least Common Multiple of 44575 and 44590