What is the Greatest Common Factor of 48605 and 48610?

Greatest common factor (GCF) of 48605 and 48610 is 5.

GCF(48605,48610) = 5

We will now calculate the prime factors of 48605 and 48610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48605 and 48610.

How to find the GCF of 48605 and 48610?

We will first find the prime factorization of 48605 and 48610. After we will calculate the factors of 48605 and 48610 and find the biggest common factor number .

Step-1: Prime Factorization of 48605

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

48605 = 5¹ × 9721¹

Step-2: Prime Factorization of 48610

Prime factors of 48610 are 2, 5, 4861. Prime factorization of 48610 in exponential form is:

48610 = 2¹ × 5¹ × 4861¹

Step-3: Factors of 48605

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

1, 5, 9721

Step-4: Factors of 48610

List of positive integer factors of 48610 that divides 48605 without a remainder.

1, 2, 5, 10, 4861, 9722, 24305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48605 and 48610. The biggest common factor number is the GCF number.
So the greatest common factor 48605 and 48610 is 5.

Also check out the Least Common Multiple of 48605 and 48610