What is the Greatest Common Factor of 48360 and 48367?

Greatest common factor (GCF) of 48360 and 48367 is 1.

GCF(48360,48367) = 1

We will now calculate the prime factors of 48360 and 48367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48360 and 48367.

How to find the GCF of 48360 and 48367?

We will first find the prime factorization of 48360 and 48367. After we will calculate the factors of 48360 and 48367 and find the biggest common factor number .

Step-1: Prime Factorization of 48360

Prime factors of 48360 are 2, 3, 5, 13, 31. Prime factorization of 48360 in exponential form is:

48360 = 2³ × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 48367

Prime factors of 48367 are 11, 4397. Prime factorization of 48367 in exponential form is:

48367 = 11¹ × 4397¹

Step-3: Factors of 48360

List of positive integer factors of 48360 that divides 48360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 31, 39, 40, 52, 60, 62, 65, 78, 93, 104, 120, 124, 130, 155, 156, 186, 195, 248, 260, 310, 312, 372, 390, 403, 465, 520, 620, 744, 780, 806, 930, 1209, 1240, 1560, 1612, 1860, 2015, 2418, 3224, 3720, 4030, 4836, 6045, 8060, 9672, 12090, 16120, 24180

Step-4: Factors of 48367

List of positive integer factors of 48367 that divides 48360 without a remainder.

1, 11, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48360 and 48367. The biggest common factor number is the GCF number.
So the greatest common factor 48360 and 48367 is 1.

Also check out the Least Common Multiple of 48360 and 48367