What is the Greatest Common Factor of 48752 and 48763?

Greatest common factor (GCF) of 48752 and 48763 is 11.

GCF(48752,48763) = 11

We will now calculate the prime factors of 48752 and 48763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48752 and 48763.

How to find the GCF of 48752 and 48763?

We will first find the prime factorization of 48752 and 48763. After we will calculate the factors of 48752 and 48763 and find the biggest common factor number .

Step-1: Prime Factorization of 48752

Prime factors of 48752 are 2, 11, 277. Prime factorization of 48752 in exponential form is:

48752 = 2⁴ × 11¹ × 277¹

Step-2: 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-3: Factors of 48752

List of positive integer factors of 48752 that divides 48752 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 277, 554, 1108, 2216, 3047, 4432, 6094, 12188, 24376

Step-4: Factors of 48763

List of positive integer factors of 48763 that divides 48752 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48752 and 48763. The biggest common factor number is the GCF number.
So the greatest common factor 48752 and 48763 is 11.

Also check out the Least Common Multiple of 48752 and 48763