What is the Greatest Common Factor of 48347 and 48360?

Greatest common factor (GCF) of 48347 and 48360 is 13.

GCF(48347,48360) = 13

We will now calculate the prime factors of 48347 and 48360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48347 and 48360.

How to find the GCF of 48347 and 48360?

We will first find the prime factorization of 48347 and 48360. After we will calculate the factors of 48347 and 48360 and find the biggest common factor number .

Step-1: Prime Factorization of 48347

Prime factors of 48347 are 13, 3719. Prime factorization of 48347 in exponential form is:

48347 = 13¹ × 3719¹

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 48347

List of positive integer factors of 48347 that divides 48347 without a remainder.

1, 13, 3719

Step-4: Factors of 48360

List of positive integer factors of 48360 that divides 48347 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 48347 and 48360. The biggest common factor number is the GCF number.
So the greatest common factor 48347 and 48360 is 13.

Also check out the Least Common Multiple of 48347 and 48360