What is the Greatest Common Factor of 49585 and 49595?

Greatest common factor (GCF) of 49585 and 49595 is 5.

GCF(49585,49595) = 5

We will now calculate the prime factors of 49585 and 49595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49585 and 49595.

How to find the GCF of 49585 and 49595?

We will first find the prime factorization of 49585 and 49595. After we will calculate the factors of 49585 and 49595 and find the biggest common factor number .

Step-1: Prime Factorization of 49585

Prime factors of 49585 are 5, 47, 211. Prime factorization of 49585 in exponential form is:

49585 = 5¹ × 47¹ × 211¹

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 49585

List of positive integer factors of 49585 that divides 49585 without a remainder.

1, 5, 47, 211, 235, 1055, 9917

Step-4: Factors of 49595

List of positive integer factors of 49595 that divides 49585 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 49585 and 49595. The biggest common factor number is the GCF number.
So the greatest common factor 49585 and 49595 is 5.

Also check out the Least Common Multiple of 49585 and 49595