What is the Greatest Common Factor of 44590 and 44600?

Greatest common factor (GCF) of 44590 and 44600 is 10.

GCF(44590,44600) = 10

We will now calculate the prime factors of 44590 and 44600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44590 and 44600.

How to find the GCF of 44590 and 44600?

We will first find the prime factorization of 44590 and 44600. After we will calculate the factors of 44590 and 44600 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44600

Prime factors of 44600 are 2, 5, 223. Prime factorization of 44600 in exponential form is:

44600 = 2³ × 5² × 223¹

Step-3: Factors of 44590

List of positive integer factors of 44590 that divides 44590 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

Step-4: Factors of 44600

List of positive integer factors of 44600 that divides 44590 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 223, 446, 892, 1115, 1784, 2230, 4460, 5575, 8920, 11150, 22300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44590 and 44600. The biggest common factor number is the GCF number.
So the greatest common factor 44590 and 44600 is 10.

Also check out the Least Common Multiple of 44590 and 44600