What is the Greatest Common Factor of 48065 and 48085?

Greatest common factor (GCF) of 48065 and 48085 is 5.

GCF(48065,48085) = 5

We will now calculate the prime factors of 48065 and 48085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48065 and 48085.

How to find the GCF of 48065 and 48085?

We will first find the prime factorization of 48065 and 48085. After we will calculate the factors of 48065 and 48085 and find the biggest common factor number .

Step-1: Prime Factorization of 48065

Prime factors of 48065 are 5, 9613. Prime factorization of 48065 in exponential form is:

48065 = 5¹ × 9613¹

Step-2: Prime Factorization of 48085

Prime factors of 48085 are 5, 59, 163. Prime factorization of 48085 in exponential form is:

48085 = 5¹ × 59¹ × 163¹

Step-3: Factors of 48065

List of positive integer factors of 48065 that divides 48065 without a remainder.

1, 5, 9613

Step-4: Factors of 48085

List of positive integer factors of 48085 that divides 48065 without a remainder.

1, 5, 59, 163, 295, 815, 9617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48065 and 48085. The biggest common factor number is the GCF number.
So the greatest common factor 48065 and 48085 is 5.

Also check out the Least Common Multiple of 48065 and 48085