What is the Greatest Common Factor of 48345 and 48360?

Greatest common factor (GCF) of 48345 and 48360 is 15.

GCF(48345,48360) = 15

We will now calculate the prime factors of 48345 and 48360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48345 and 48360.

How to find the GCF of 48345 and 48360?

We will first find the prime factorization of 48345 and 48360. After we will calculate the factors of 48345 and 48360 and find the biggest common factor number .

Step-1: Prime Factorization of 48345

Prime factors of 48345 are 3, 5, 11, 293. Prime factorization of 48345 in exponential form is:

48345 = 3¹ × 5¹ × 11¹ × 293¹

Step-2: 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-3: Factors of 48345

List of positive integer factors of 48345 that divides 48345 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 293, 879, 1465, 3223, 4395, 9669, 16115

Step-4: Factors of 48360

List of positive integer factors of 48360 that divides 48345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48345 and 48360. The biggest common factor number is the GCF number.
So the greatest common factor 48345 and 48360 is 15.

Also check out the Least Common Multiple of 48345 and 48360