What is the Greatest Common Factor of 48763 and 48774?

Greatest common factor (GCF) of 48763 and 48774 is 11.

GCF(48763,48774) = 11

We will now calculate the prime factors of 48763 and 48774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48763 and 48774.

How to find the GCF of 48763 and 48774?

We will first find the prime factorization of 48763 and 48774. After we will calculate the factors of 48763 and 48774 and find the biggest common factor number .

Step-1: Prime Factorization of 48763

Prime factors of 48763 are 11, 13, 31. Prime factorization of 48763 in exponential form is:

48763 = 11² × 13¹ × 31¹

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 48763

List of positive integer factors of 48763 that divides 48763 without a remainder.

1, 11, 13, 31, 121, 143, 341, 403, 1573, 3751, 4433

Step-4: Factors of 48774

List of positive integer factors of 48774 that divides 48763 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 48763 and 48774. The biggest common factor number is the GCF number.
So the greatest common factor 48763 and 48774 is 11.

Also check out the Least Common Multiple of 48763 and 48774