What is the Greatest Common Factor of 48465 and 48480?

Greatest common factor (GCF) of 48465 and 48480 is 15.

GCF(48465,48480) = 15

We will now calculate the prime factors of 48465 and 48480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48465 and 48480.

How to find the GCF of 48465 and 48480?

We will first find the prime factorization of 48465 and 48480. After we will calculate the factors of 48465 and 48480 and find the biggest common factor number .

Step-1: Prime Factorization of 48465

Prime factors of 48465 are 3, 5, 359. Prime factorization of 48465 in exponential form is:

48465 = 3³ × 5¹ × 359¹

Step-2: Prime Factorization of 48480

Prime factors of 48480 are 2, 3, 5, 101. Prime factorization of 48480 in exponential form is:

48480 = 2⁵ × 3¹ × 5¹ × 101¹

Step-3: Factors of 48465

List of positive integer factors of 48465 that divides 48465 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 359, 1077, 1795, 3231, 5385, 9693, 16155

Step-4: Factors of 48480

List of positive integer factors of 48480 that divides 48465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 101, 120, 160, 202, 240, 303, 404, 480, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 3232, 4040, 4848, 6060, 8080, 9696, 12120, 16160, 24240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48465 and 48480. The biggest common factor number is the GCF number.
So the greatest common factor 48465 and 48480 is 15.

Also check out the Least Common Multiple of 48465 and 48480