What is the Greatest Common Factor of 48340 and 48360?

Greatest common factor (GCF) of 48340 and 48360 is 20.

GCF(48340,48360) = 20

We will now calculate the prime factors of 48340 and 48360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48340 and 48360.

How to find the GCF of 48340 and 48360?

We will first find the prime factorization of 48340 and 48360. After we will calculate the factors of 48340 and 48360 and find the biggest common factor number .

Step-1: Prime Factorization of 48340

Prime factors of 48340 are 2, 5, 2417. Prime factorization of 48340 in exponential form is:

48340 = 2² × 5¹ × 2417¹

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 48340

List of positive integer factors of 48340 that divides 48340 without a remainder.

1, 2, 4, 5, 10, 20, 2417, 4834, 9668, 12085, 24170

Step-4: Factors of 48360

List of positive integer factors of 48360 that divides 48340 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 48340 and 48360. The biggest common factor number is the GCF number.
So the greatest common factor 48340 and 48360 is 20.

Also check out the Least Common Multiple of 48340 and 48360