What is the Greatest Common Factor of 48780 and 48784?

Greatest common factor (GCF) of 48780 and 48784 is 4.

GCF(48780,48784) = 4

We will now calculate the prime factors of 48780 and 48784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48780 and 48784.

How to find the GCF of 48780 and 48784?

We will first find the prime factorization of 48780 and 48784. After we will calculate the factors of 48780 and 48784 and find the biggest common factor number .

Step-1: Prime Factorization of 48780

Prime factors of 48780 are 2, 3, 5, 271. Prime factorization of 48780 in exponential form is:

48780 = 2² × 3² × 5¹ × 271¹

Step-2: Prime Factorization of 48784

Prime factors of 48784 are 2, 3049. Prime factorization of 48784 in exponential form is:

48784 = 2⁴ × 3049¹

Step-3: Factors of 48780

List of positive integer factors of 48780 that divides 48780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 271, 542, 813, 1084, 1355, 1626, 2439, 2710, 3252, 4065, 4878, 5420, 8130, 9756, 12195, 16260, 24390

Step-4: Factors of 48784

List of positive integer factors of 48784 that divides 48780 without a remainder.

1, 2, 4, 8, 16, 3049, 6098, 12196, 24392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48780 and 48784. The biggest common factor number is the GCF number.
So the greatest common factor 48780 and 48784 is 4.

Also check out the Least Common Multiple of 48780 and 48784