What is the Greatest Common Factor of 48075 and 48080?

Greatest common factor (GCF) of 48075 and 48080 is 5.

GCF(48075,48080) = 5

We will now calculate the prime factors of 48075 and 48080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48075 and 48080.

How to find the GCF of 48075 and 48080?

We will first find the prime factorization of 48075 and 48080. After we will calculate the factors of 48075 and 48080 and find the biggest common factor number .

Step-1: Prime Factorization of 48075

Prime factors of 48075 are 3, 5, 641. Prime factorization of 48075 in exponential form is:

48075 = 3¹ × 5² × 641¹

Step-2: 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-3: Factors of 48075

List of positive integer factors of 48075 that divides 48075 without a remainder.

1, 3, 5, 15, 25, 75, 641, 1923, 3205, 9615, 16025

Step-4: Factors of 48080

List of positive integer factors of 48080 that divides 48075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48075 and 48080. The biggest common factor number is the GCF number.
So the greatest common factor 48075 and 48080 is 5.

Also check out the Least Common Multiple of 48075 and 48080