What is the Greatest Common Factor of 48755 and 48774?

Greatest common factor (GCF) of 48755 and 48774 is 1.

GCF(48755,48774) = 1

We will now calculate the prime factors of 48755 and 48774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48755 and 48774.

How to find the GCF of 48755 and 48774?

We will first find the prime factorization of 48755 and 48774. After we will calculate the factors of 48755 and 48774 and find the biggest common factor number .

Step-1: Prime Factorization of 48755

Prime factors of 48755 are 5, 7, 199. Prime factorization of 48755 in exponential form is:

48755 = 5¹ × 7² × 199¹

Step-2: 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-3: Factors of 48755

List of positive integer factors of 48755 that divides 48755 without a remainder.

1, 5, 7, 35, 49, 199, 245, 995, 1393, 6965, 9751

Step-4: Factors of 48774

List of positive integer factors of 48774 that divides 48755 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48755 and 48774. The biggest common factor number is the GCF number.
So the greatest common factor 48755 and 48774 is 1.

Also check out the Least Common Multiple of 48755 and 48774