What is the Greatest Common Factor of 48590 and 48605?

Greatest common factor (GCF) of 48590 and 48605 is 5.

GCF(48590,48605) = 5

We will now calculate the prime factors of 48590 and 48605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48590 and 48605.

How to find the GCF of 48590 and 48605?

We will first find the prime factorization of 48590 and 48605. After we will calculate the factors of 48590 and 48605 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 48605

Prime factors of 48605 are 5, 9721. Prime factorization of 48605 in exponential form is:

48605 = 5¹ × 9721¹

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 48605

List of positive integer factors of 48605 that divides 48590 without a remainder.

1, 5, 9721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48590 and 48605. The biggest common factor number is the GCF number.
So the greatest common factor 48590 and 48605 is 5.

Also check out the Least Common Multiple of 48590 and 48605