What is the Greatest Common Factor of 48465 and 48474?

Greatest common factor (GCF) of 48465 and 48474 is 9.

GCF(48465,48474) = 9

We will now calculate the prime factors of 48465 and 48474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48465 and 48474.

How to find the GCF of 48465 and 48474?

We will first find the prime factorization of 48465 and 48474. After we will calculate the factors of 48465 and 48474 and find the biggest common factor number .

Step-1: Prime Factorization of 48465

Prime factors of 48465 are 3, 5, 359. Prime factorization of 48465 in exponential form is:

48465 = 3³ × 5¹ × 359¹

Step-2: Prime Factorization of 48474

Prime factors of 48474 are 2, 3, 2693. Prime factorization of 48474 in exponential form is:

48474 = 2¹ × 3² × 2693¹

Step-3: Factors of 48465

List of positive integer factors of 48465 that divides 48465 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 359, 1077, 1795, 3231, 5385, 9693, 16155

Step-4: Factors of 48474

List of positive integer factors of 48474 that divides 48465 without a remainder.

1, 2, 3, 6, 9, 18, 2693, 5386, 8079, 16158, 24237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48465 and 48474. The biggest common factor number is the GCF number.
So the greatest common factor 48465 and 48474 is 9.

Also check out the Least Common Multiple of 48465 and 48474