What is the Greatest Common Factor of 48360 and 48373?

Greatest common factor (GCF) of 48360 and 48373 is 13.

GCF(48360,48373) = 13

We will now calculate the prime factors of 48360 and 48373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48360 and 48373.

How to find the GCF of 48360 and 48373?

We will first find the prime factorization of 48360 and 48373. After we will calculate the factors of 48360 and 48373 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 48373

Prime factors of 48373 are 13, 61. Prime factorization of 48373 in exponential form is:

48373 = 13¹ × 61²

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 48373

List of positive integer factors of 48373 that divides 48360 without a remainder.

1, 13, 61, 793, 3721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48360 and 48373. The biggest common factor number is the GCF number.
So the greatest common factor 48360 and 48373 is 13.

Also check out the Least Common Multiple of 48360 and 48373