What is the Greatest Common Factor of 48360 and 48372?

Greatest common factor (GCF) of 48360 and 48372 is 12.

GCF(48360,48372) = 12

We will now calculate the prime factors of 48360 and 48372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48360 and 48372.

How to find the GCF of 48360 and 48372?

We will first find the prime factorization of 48360 and 48372. After we will calculate the factors of 48360 and 48372 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 48372

Prime factors of 48372 are 2, 3, 29, 139. Prime factorization of 48372 in exponential form is:

48372 = 2² × 3¹ × 29¹ × 139¹

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 48372

List of positive integer factors of 48372 that divides 48360 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 139, 174, 278, 348, 417, 556, 834, 1668, 4031, 8062, 12093, 16124, 24186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48360 and 48372. The biggest common factor number is the GCF number.
So the greatest common factor 48360 and 48372 is 12.

Also check out the Least Common Multiple of 48360 and 48372