What is the Greatest Common Factor of 48774 and 48793?

Greatest common factor (GCF) of 48774 and 48793 is 1.

GCF(48774,48793) = 1

We will now calculate the prime factors of 48774 and 48793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48774 and 48793.

How to find the GCF of 48774 and 48793?

We will first find the prime factorization of 48774 and 48793. After we will calculate the factors of 48774 and 48793 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 48793

Prime factors of 48793 are 59, 827. Prime factorization of 48793 in exponential form is:

48793 = 59¹ × 827¹

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 48793

List of positive integer factors of 48793 that divides 48774 without a remainder.

1, 59, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48774 and 48793. The biggest common factor number is the GCF number.
So the greatest common factor 48774 and 48793 is 1.

Also check out the Least Common Multiple of 48774 and 48793