What is the Greatest Common Factor of 48590 and 48595?

Greatest common factor (GCF) of 48590 and 48595 is 5.

GCF(48590,48595) = 5

We will now calculate the prime factors of 48590 and 48595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48590 and 48595.

How to find the GCF of 48590 and 48595?

We will first find the prime factorization of 48590 and 48595. After we will calculate the factors of 48590 and 48595 and find the biggest common factor number .

Step-1: Prime Factorization of 48590

Prime factors of 48590 are 2, 5, 43, 113. Prime factorization of 48590 in exponential form is:

48590 = 2¹ × 5¹ × 43¹ × 113¹

Step-2: Prime Factorization of 48595

Prime factors of 48595 are 5, 9719. Prime factorization of 48595 in exponential form is:

48595 = 5¹ × 9719¹

Step-3: Factors of 48590

List of positive integer factors of 48590 that divides 48590 without a remainder.

1, 2, 5, 10, 43, 86, 113, 215, 226, 430, 565, 1130, 4859, 9718, 24295

Step-4: Factors of 48595

List of positive integer factors of 48595 that divides 48590 without a remainder.

1, 5, 9719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48590 and 48595. The biggest common factor number is the GCF number.
So the greatest common factor 48590 and 48595 is 5.

Also check out the Least Common Multiple of 48590 and 48595