What is the Greatest Common Factor of 48774 and 48784?

Greatest common factor (GCF) of 48774 and 48784 is 2.

GCF(48774,48784) = 2

We will now calculate the prime factors of 48774 and 48784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48774 and 48784.

How to find the GCF of 48774 and 48784?

We will first find the prime factorization of 48774 and 48784. After we will calculate the factors of 48774 and 48784 and find the biggest common factor number .

Step-1: Prime Factorization of 48774

Prime factors of 48774 are 2, 3, 11, 739. Prime factorization of 48774 in exponential form is:

48774 = 2¹ × 3¹ × 11¹ × 739¹

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 48774

List of positive integer factors of 48774 that divides 48774 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 739, 1478, 2217, 4434, 8129, 16258, 24387

Step-4: Factors of 48784

List of positive integer factors of 48784 that divides 48774 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 48774 and 48784. The biggest common factor number is the GCF number.
So the greatest common factor 48774 and 48784 is 2.

Also check out the Least Common Multiple of 48774 and 48784