What is the Greatest Common Factor of 49590 and 49595?

Greatest common factor (GCF) of 49590 and 49595 is 5.

GCF(49590,49595) = 5

We will now calculate the prime factors of 49590 and 49595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49590 and 49595.

How to find the GCF of 49590 and 49595?

We will first find the prime factorization of 49590 and 49595. After we will calculate the factors of 49590 and 49595 and find the biggest common factor number .

Step-1: Prime Factorization of 49590

Prime factors of 49590 are 2, 3, 5, 19, 29. Prime factorization of 49590 in exponential form is:

49590 = 2¹ × 3² × 5¹ × 19¹ × 29¹

Step-2: Prime Factorization of 49595

Prime factors of 49595 are 5, 7, 13, 109. Prime factorization of 49595 in exponential form is:

49595 = 5¹ × 7¹ × 13¹ × 109¹

Step-3: Factors of 49590

List of positive integer factors of 49590 that divides 49590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 29, 30, 38, 45, 57, 58, 87, 90, 95, 114, 145, 171, 174, 190, 261, 285, 290, 342, 435, 522, 551, 570, 855, 870, 1102, 1305, 1653, 1710, 2610, 2755, 3306, 4959, 5510, 8265, 9918, 16530, 24795

Step-4: Factors of 49595

List of positive integer factors of 49595 that divides 49590 without a remainder.

1, 5, 7, 13, 35, 65, 91, 109, 455, 545, 763, 1417, 3815, 7085, 9919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49590 and 49595. The biggest common factor number is the GCF number.
So the greatest common factor 49590 and 49595 is 5.

Also check out the Least Common Multiple of 49590 and 49595