What is the Greatest Common Factor of 48080 and 48085?

Greatest common factor (GCF) of 48080 and 48085 is 5.

GCF(48080,48085) = 5

We will now calculate the prime factors of 48080 and 48085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48080 and 48085.

How to find the GCF of 48080 and 48085?

We will first find the prime factorization of 48080 and 48085. After we will calculate the factors of 48080 and 48085 and find the biggest common factor number .

Step-1: Prime Factorization of 48080

Prime factors of 48080 are 2, 5, 601. Prime factorization of 48080 in exponential form is:

48080 = 2⁴ × 5¹ × 601¹

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 48080

List of positive integer factors of 48080 that divides 48080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 601, 1202, 2404, 3005, 4808, 6010, 9616, 12020, 24040

Step-4: Factors of 48085

List of positive integer factors of 48085 that divides 48080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48080 and 48085. The biggest common factor number is the GCF number.
So the greatest common factor 48080 and 48085 is 5.

Also check out the Least Common Multiple of 48080 and 48085