What is the Greatest Common Factor of 48745 and 48755?

Greatest common factor (GCF) of 48745 and 48755 is 5.

GCF(48745,48755) = 5

We will now calculate the prime factors of 48745 and 48755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48745 and 48755.

How to find the GCF of 48745 and 48755?

We will first find the prime factorization of 48745 and 48755. After we will calculate the factors of 48745 and 48755 and find the biggest common factor number .

Step-1: Prime Factorization of 48745

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

48745 = 5¹ × 9749¹

Step-2: Prime Factorization of 48755

Prime factors of 48755 are 5, 7, 199. Prime factorization of 48755 in exponential form is:

48755 = 5¹ × 7² × 199¹

Step-3: Factors of 48745

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

1, 5, 9749

Step-4: Factors of 48755

List of positive integer factors of 48755 that divides 48745 without a remainder.

1, 5, 7, 35, 49, 199, 245, 995, 1393, 6965, 9751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48745 and 48755. The biggest common factor number is the GCF number.
So the greatest common factor 48745 and 48755 is 5.

Also check out the Least Common Multiple of 48745 and 48755