What is the Greatest Common Factor of 48730 and 48745?

Greatest common factor (GCF) of 48730 and 48745 is 5.

GCF(48730,48745) = 5

We will now calculate the prime factors of 48730 and 48745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48730 and 48745.

How to find the GCF of 48730 and 48745?

We will first find the prime factorization of 48730 and 48745. After we will calculate the factors of 48730 and 48745 and find the biggest common factor number .

Step-1: Prime Factorization of 48730

Prime factors of 48730 are 2, 5, 11, 443. Prime factorization of 48730 in exponential form is:

48730 = 2¹ × 5¹ × 11¹ × 443¹

Step-2: Prime Factorization of 48745

Prime factors of 48745 are 5, 9749. Prime factorization of 48745 in exponential form is:

48745 = 5¹ × 9749¹

Step-3: Factors of 48730

List of positive integer factors of 48730 that divides 48730 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365

Step-4: Factors of 48745

List of positive integer factors of 48745 that divides 48730 without a remainder.

1, 5, 9749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48730 and 48745. The biggest common factor number is the GCF number.
So the greatest common factor 48730 and 48745 is 5.

Also check out the Least Common Multiple of 48730 and 48745